@book{hansen2010discrete,
  author    = {Hansen, Per Christian},
  title     = {Discrete Inverse Problems: Insight and Algorithms},
  publisher = {SIAM},
  address   = {Philadelphia},
  year      = {2010},
  doi       = {10.1137/1.9780898718836}
}

@book{vogel2002computational,
  author    = {Vogel, Curtis R.},
  title     = {Computational Methods for Inverse Problems},
  publisher = {SIAM},
  address   = {Philadelphia},
  year      = {2002},
  doi       = {10.1137/1.9780898717570}
}

@incollection{hansen2001lcurve,
  author    = {Hansen, Per Christian},
  title     = {The L-Curve and Its Use in the Numerical Treatment of Inverse Problems},
  booktitle = {Computational Inverse Problems in Electrocardiology},
  editor    = {Johnston, P.},
  publisher = {WIT Press},
  year      = {2001},
  pages     = {119--142}
}

@article{pooja2024waveletcollocation,
  author  = {Pooja and Kumar, J. and Manchanda, P.},
  title   = {Numerical Solution of First Kind Fredholm Integral Equations Using Wavelet Collocation Method},
  journal = {Journal of Advances in Mathematics and Computer Science},
  year    = {2024},
  volume  = {39},
  number  = {6},
  pages   = {66--79},
  doi     = {10.9734/jamcs/2024/v39i61902}
}

@article{bilel2025regularizedlegendre,
  author  = {Bilel, Neggal},
  title   = {Numerical Solution of Fredholm Integral Equations of the First Kind by Regularized Legendre Collocation Method},
  journal = {Advanced Mathematical Models and Applications},
  year    = {2025},
  volume  = {10},
  number  = {1},
  pages   = {100--109},
  doi     = {10.62476/amma101100}
}

@article{temirbekov2025comparative,
  author  = {Temirbekov, Nurlan and Tamabay, Dinara and Tleulesova, Aigerim and Mukhanova, Tomiris},
  title   = {Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations},
  journal = {Computation},
  year    = {2025},
  volume  = {13},
  number  = {8},
  pages   = {199},
  doi     = {10.3390/computation13080199}
}

@misc{pang2025iterated,
  author        = {Pang, Xiaowei and Wang, Jun},
  title         = {A New Iterated Tikhonov Regularization Method for Fredholm Integral Equation of First Kind},
  year          = {2025},
  eprint        = {2504.00209},
  archivePrefix = {arXiv},
  primaryClass  = {math.NA},
  note          = {arXiv:2504.00209v2}
}

@article{qiu2025gaussian,
  author  = {Qiu, Renjun and Xu, Juanjuan and Xu, Ming},
  title   = {Solving Fredholm Integral Equations of the First Kind Using a Gaussian Process Model Based on Sequential Design},
  journal = {Mathematics},
  year    = {2025},
  volume  = {13},
  number  = {15},
  pages   = {2407},
  doi     = {10.3390/math13152407}
}

@article{bechouat2024weaklysingular,
  author  = {Bechouat, Tahar and Boussetila, Nadjib},
  title   = {On the Numerical Solution of Weakly Singular Integral Equations of the First Kind Using a Regularized Projection Method},
  journal = {International Journal of Computer Mathematics},
  year    = {2024},
  volume  = {101},
  number  = {5},
  pages   = {561--576},
  doi     = {10.1080/00207160.2024.2358119}
}

@article{mesgarani2023image,
  author  = {Mesgarani, Hamid and Parmour, Parisa},
  title   = {Application of Numerical Solution of Linear Fredholm Integral Equation of the First Kind for Image Restoration},
  journal = {Mathematical Sciences},
  year    = {2023},
  volume  = {17},
  number  = {4},
  pages   = {371--378},
  doi     = {10.1007/s40096-022-00456-2}
}

@article{lu2010image,
  author  = {Lu, Yao and Shen, Lixin and Xu, Yuesheng},
  title   = {Integral Equation Models for Image Restoration: High Accuracy Methods and Fast Algorithms},
  journal = {Inverse Problems},
  year    = {2010},
  volume  = {26},
  number  = {4},
  pages   = {045006},
  doi     = {10.1088/0266-5611/26/4/045006}
}

@article{crucinio2024wasserstein,
  author  = {Crucinio, Francesca R. and De Bortoli, Valentin and Doucet, Arnaud and Johansen, Adam M.},
  title   = {Solving a Class of Fredholm Integral Equations of the First Kind via Wasserstein Gradient Flows},
  journal = {Stochastic Processes and their Applications},
  year    = {2024},
  volume  = {173},
  pages   = {104374},
  doi     = {10.1016/j.spa.2024.104374}
}

@misc{lu2023adaptive,
  author        = {Lu, Fei and Ou, Miao-Jung Yvonne},
  title         = {An Adaptive RKHS Regularization for Fredholm Integral Equations},
  year          = {2023},
  eprint        = {2303.13737},
  archivePrefix = {arXiv},
  primaryClass  = {math.NA}
}

@article{lonseth1977sources,
  title={Sources and applications of integral equations},
  author={Lonseth, Arvid T},
  journal={SIAM Review},
  volume={19},
  number={2},
  pages={241--278},
  year={1977},
  publisher={SIAM}
}

@article{feldkamp2017validation,
  title={Validation of a convolution integral for conductivity imaging},
  author={Feldkamp, Joe R and Quirk, Stephen},
  journal={Progress In Electromagnetics Research},
  volume={67},
  pages={1--6},
  year={2017},
  publisher={EMW Publishing}
}

@article{feldkamp2017inversion,
  title={Inversion of an inductive loss convolution integral for conductivity imaging},
  author={Feldkamp, Joe R},
  journal={Progress In Electromagnetics Research},
  volume={74},
  pages={93--107},
  year={2017},
  publisher={EMW Publishing}
}

@book{colton2013integral,
  title={Integral equation methods in scattering theory},
  author={Colton, David and Kress, Rainer},
  volume={72},
  year={2013},
  publisher={SIAM}
}

@article{hansen1992numerical,
  title={Numerical tools for analysis and solution of Fredholm integral equations of the first kind},
  author={Hansen, Per Christian},
  journal={Inverse problems},
  volume={8},
  number={6},
  pages={849},
  year={1992},
  publisher={IOP Publishing}
}

@book{colton2012inverse,
  title={Inverse acoustic and electromagnetic scattering theory},
  author={Colton, David and Kress, Rainer},
  volume={93},
  year={2012},
  publisher={Springer Science \& Business Media}
}

@article{kress1994quasi,
  title={A quasi-Newton method in inverse obstacle scattering},
  author={Kress, Rainer and Rundell, William},
  journal={Inverse Problems},
  volume={10},
  number={5},
  pages={1145},
  year={1994},
  publisher={IOP Publishing}
}

@book{chadan1997introduction,
  title={An introduction to inverse scattering and inverse spectral problems},
  author={Chadan, Khosrow and Colton, David and P{\"a}iv{\"a}rinta, Lassi and Rundell, William},
  year={1997},
  publisher={SIAM}
}

@misc{hohage2002lecture,
  title={Lecture notes on inverse problems},
  author={Hohage, Thorsten},
  year={2002},
  publisher={Citeseer}
}

@article{hohage2001numerical,
  title={On the numerical solution of a three-dimensional inverse medium scattering problem},
  author={Hohage, Thorsten},
  journal={Inverse Problems},
  volume={17},
  number={6},
  pages={1743},
  year={2001},
  publisher={IOP Publishing}
}

@book{natterer2001mathematics,
  title={The mathematics of computerized tomography},
  author={Natterer, Frank},
  year={2001},
  publisher={SIAM}
}

@book{kirsch2011introduction,
  title={An introduction to the mathematical theory of inverse problems},
  author={Kirsch, Andreas},
  volume={120},
  year={2011},
  publisher={Springer Science \& Business Media}
}

@article{colton1996simple,
  title={A simple method for solving inverse scattering problems in the resonance region},
  author={Colton, David and Kirsch, Andreas},
  journal={Inverse problems},
  volume={12},
  number={4},
  pages={383},
  year={1996},
  publisher={IOP Publishing}
}

@article{kress1995integral,
  title={Integral equation methods in inverse obstacle scattering},
  author={Kress, Rainer},
  journal={Engineering analysis with boundary elements},
  volume={15},
  number={2},
  pages={171--179},
  year={1995},
  publisher={Elsevier}
}

@article{feldkamp2015single,
  title={Single-coil magnetic induction tomographic three-dimensional imaging},
  author={Feldkamp, Joseph R},
  journal={Journal of Medical Imaging},
  volume={2},
  number={1},
  pages={013502},
  year={2015},
  publisher={International Society for Optics and Photonics}
}

@article{harrington1967matrix,
  title={Matrix methods for field problems},
  author={Harrington, Roger F},
  journal={Proceedings of the IEEE},
  volume={55},
  number={2},
  pages={136--149},
  year={1967},
  publisher={IEEE}
}

@article{wilton1981effective,
  title={Effective methods for solving integral and integro-differential equations},
  author={Wilton, Donald R and Butler, Chalmers M},
  journal={Electromagnetics},
  volume={1},
  number={3},
  pages={289--308},
  year={1981},
  publisher={Taylor \& Francis}
}

@article{bertero1988ill,
  title={Ill-posed problems in early vision},
  author={Bertero, Mario and Poggio, Tomaso A and Torre, Vincent},
  journal={Proceedings of the IEEE},
  volume={76},
  number={8},
  pages={869--889},
  year={1988},
  publisher={IEEE}
}

@article{banham1997digital,
  title={Digital image restoration},
  author={Banham, Mark R and Katsaggelos, Aggelos K},
  journal={IEEE signal processing magazine},
  volume={14},
  number={2},
  pages={24--41},
  year={1997},
  publisher={IEEE}
}

@book{engl2014inverse,
  title={Inverse and ill-posed problems},
  author={Engl, Heinz W and Groetsch, Charles W},
  volume={4},
  year={2014},
  publisher={Elsevier}
}

@article{tikhonov1963solution,
  title={On the solution of ill-posed problems and the method of regularization},
  author={Tikhonov, Andrei Nikolaevich},
  journal={Doklady Akademii Nauk},
  volume={151},
  number={3},
  pages={501--504},
  year={1963},}

@article{tikhonov1963regularization,
  title={On the regularization of ill-posed problems},
  author={Tikhonov, Andrei Nikolaevich},
  journal={Doklady Akademii Nauk},
  volume={153},
  number={1},
  pages={49--52},
  year={1963},}

@article{tikhonov1987ill,
  title={Ill-posed problems in the natural sciences},
  author={Tikhonov, Andrei N and Goncharsky, AV},
  journal={Ill-posed problems in the natural sciences, Moscow: MIR Publishers, 1987, 344 p., Advances in science and technology in the USSR. Mathematics and mechanics series},
  year={1987}
}

@book{tikhonov2013numerical,
  title={Numerical methods for the solution of ill-posed problems},
  author={Tikhonov, Andrei Nikolaevich and Goncharsky, AV and Stepanov, VV and Yagola, Anatoly G},
  volume={328},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@article{phillips1962technique,
  title={A technique for the numerical solution of certain integral equations of the first kind},
  author={Phillips, David L},
  journal={Journal of the ACM (JACM)},
  volume={9},
  number={1},
  pages={84--97},
  year={1962},
  publisher={ACM}
}

@article{kleefeld2011numerical,
  title={Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions},
  author={Kleefeld, Andreas},
  journal={International Journal of Computer Mathematics},
  volume={88},
  number={13},
  pages={2728--2742},
  year={2011},
  publisher={Taylor \& Francis}
}

@article{french2007integral,
  title={Integral equation models for the inverse problem of biological ion channel distributions},
  author={French, DA and Groetsch, CW},
  journal={Journal of Physics: Conference Series},
  volume={73},
  number={1},
  pages={012006},
  year={2007},}

@article{sohrabi2013study,
  title={Study on convergence of hybrid functions method for solution of nonlinear integral equations},
  author={Sohrabi, S},
  journal={Applicable Analysis},
  volume={92},
  number={4},
  pages={690--702},
  year={2013},
  publisher={Taylor \& Francis}
}

@article{maleknejad2004numerical,
  title={Numerical solution of linear Fredholm integral equation by using hybrid Taylor and block-pulse functions},
  author={Maleknejad, Khosrow and Mahmoudi, Yaghoub},
  journal={Applied Mathematics and Computation},
  volume={149},
  number={3},
  pages={799--806},
  year={2004},
  publisher={New York: Elsevier, 1975-}
}

@article{reihani2007rationalized,
  title={Rationalized Haar functions method for solving Fredholm and Volterra integral equations},
  author={Reihani, MH and Abadi, Z},
  journal={Journal of Computational and Applied Mathematics},
  volume={200},
  number={1},
  pages={12--20},
  year={2007},
  publisher={Elsevier}
}

@article{maleknejad2010method,
  title={The method of moments for solution of second kind Fredholm integral equations based on B-spline wavelets},
  author={Maleknejad, Khosrow and Nosrati Sahlan, M},
  journal={International Journal of Computer Mathematics},
  volume={87},
  number={7},
  pages={1602--1616},
  year={2010},
  publisher={Taylor \& Francis}
}

@article{kress2000numerical,
  title={Numerical methods in inverse obstacle scattering},
  author={Kress, Rainer},
  journal={Anziam Journal},
  volume={42},
  pages={44--67},
  year={2000}
}

@article{groetsch1984theory,
  title={The theory of tikhonov regularization for fredholm equations},
  author={Groetsch, CW},
  journal={104p, Boston Pitman Publication},
  year={1984}
}

@book{wing1991primer,
  title={A primer on integral equations of the first kind: the problem of deconvolution and unfolding},
  author={Wing, George Milton},
  volume={27},
  year={1991},
  publisher={Siam}
}

@article{he1999variational,
  title={Variational iteration method--a kind of non-linear analytical technique: some examples},
  author={He, Ji-Huan},
  journal={International journal of non-linear mechanics},
  volume={34},
  number={4},
  pages={699--708},
  year={1999},
  publisher={Elsevier}
}

@article{he2006some,
  title={Some asymptotic methods for strongly nonlinear equations},
  author={He, Ji-Huan},
  journal={International journal of Modern physics B},
  volume={20},
  number={10},
  pages={1141--1199},
  year={2006},
  publisher={World Scientific}
}

@article{he2007variational,
  title={Variational iteration method—some recent results and new interpretations},
  author={He, Ji-Huan},
  journal={Journal of computational and applied mathematics},
  volume={207},
  number={1},
  pages={3--17},
  year={2007},
  publisher={Elsevier}
}

@article{maleknejad2003numerical,
  title={Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method},
  author={Maleknejad, Khosrow and Mirzaee, Farshid},
  journal={International journal of computer mathematics},
  volume={80},
  number={11},
  pages={1397--1405},
  year={2003},
  publisher={Taylor \& Francis}
}

@article{maleknejad2005numerical,
  title={Numerical solution of integral equations system of the second kind by block--pulse functions},
  author={Maleknejad, Khosrow and Shahrezaee, M and Khatami, H},
  journal={Applied Mathematics and Computation},
  volume={166},
  number={1},
  pages={15--24},
  year={2005},
  publisher={Elsevier}
}

@article{maleknejad2006numerical,
  title={Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method},
  author={Maleknejad, Khosrow and Aghazadeh, Nasser and Rabbani, Mohsen},
  journal={Applied Mathematics and Computation},
  volume={175},
  number={2},
  pages={1229--1234},
  year={2006},
  publisher={Elsevier}
}

@article{maleknejad2007numerical,
  title={Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets},
  author={Maleknejad, Khosrow and Sohrabi, Saeed},
  journal={Applied Mathematics and Computation},
  volume={186},
  number={1},
  pages={836--843},
  year={2007},
  publisher={Elsevier}
}

@inproceedings{lin2009haar,
  title={A Haar wavelet solution to Fredholm equations},
  author={Lin, Xiao-Yan and Leng, Jin-Song and Lu, Ying-Jin},
  booktitle={2009 International Conference on Computational Intelligence and Software Engineering},
  pages={1--4},
  year={2009},
  organization={IEEE}
}

@article{adibi2010chebyshev,
  title={Chebyshev wavelet method for numerical solution of Fredholm integral equations of the first kind},
  author={Adibi, Hojatollah and Assari, Pouria},
  journal={Mathematical problems in Engineering},
  volume={2010},
  year={2010},
  publisher={Hindawi}
}

@article{emamzadeh2010nonlinear, title={Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods},
  author={Emamzadeh, Marziehe Jafari and Kajani, Majid Tavassoli},
  journal={Journal of Mathematical Extension},
  year={2010}
}

@article{lakestani2005solution,
  title={Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets},
  author={Lakestani, M and Razzaghi, M and Dehghan, M},
  journal={Mathematical problems in engineering},
  volume={2005},
  number={1},
  pages={113--121},
  year={2005},
  publisher={Hindawi}
}

@article{mahmoudi2005wavelet,
  title={Wavelet Galerkin method for numerical solution of nonlinear integral equation},
  author={Mahmoudi, Yaghoub},
  journal={Applied Mathematics and Computation},
  volume={167},
  number={2},
  pages={1119--1129},
  year={2005},
  publisher={Elsevier}
}

@article{abbasbandy2006numerical,
  title={Numerical solutions of the integral equations: Homotopy perturbation method and Adomian’s decomposition method},
  author={Abbasbandy, Saeid},
  journal={Applied Mathematics and Computation},
  volume={173},
  number={1},
  pages={493--500},
  year={2006},
  publisher={Elsevier}
}

@article{ganji2007application,
  title={Application of homotopy-perturbation method to the second kind of nonlinear integral equations},
  author={Ganji, DD and Afrouzi, GA and Hosseinzadeh, H and Talarposhti, RA},
  journal={Physics Letters A},
  volume={371},
  number={1-2},
  pages={20--25},
  year={2007},
  publisher={Elsevier}
}

@article{javidi2009modified,
  title={Modified homotopy perturbation method for solving non-linear Fredholm integral equations},
  author={Javidi, M and Golbabai, A},
  journal={Chaos, Solitons \& Fractals},
  volume={40},
  number={3},
  pages={1408--1412},
  year={2009},
  publisher={Elsevier}
}

@article{babolian2004decomposition,
  title={The decomposition method applied to systems of Fredholm integral equations of the second kind},
  author={Babolian, Esmail and Biazar, Jafar and Vahidi, AR},
  journal={Applied Mathematics and Computation},
  volume={148},
  number={2},
  pages={443--452},
  year={2004},
  publisher={Elsevier}
}

@article{abbasbandy2011new,
  title={A new analytical technique to solve Fredholm’s integral equations},
  author={Abbasbandy, Saeid and Shivanian, Elyas},
  journal={Numerical algorithms},
  volume={56},
  number={1},
  pages={27--43},
  year={2011},
  publisher={Springer}
}

@misc{delves1974numerical,
  title={Numerical Solution of Integral Equations, Clarendon},
  author={Delves, LM and Walsh, J},
  year={1974},
  publisher={Oxford}
}

@book{baumeister1987stable,
  title={Stable solution of inverse problems},
  author={Baumeister, Johann},
  year={1987},
  publisher={Springer}
}

@article{cheng2000one,
  title={One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization},
  author={Cheng, J and Yamamoto, M},
  journal={Inverse problems},
  volume={16},
  number={4},
  pages={L31},
  year={2000},
  publisher={IOP Publishing}
}

@article{wang2001fast,
  title={Fast realization algorithms for determining regularization parameters in linear inverse problems},
  author={Wang, Yan-fei and Xiao, Ting-yan},
  journal={Inverse Problems},
  volume={17},
  number={2},
  pages={281},
  year={2001},
  publisher={IOP Publishing}
}

@article{zou2009cubically,
  title={Cubically convergent methods for selecting the regularization parameters in linear inverse problems},
  author={Zou, Yongkui and Wang, Linjun and Zhang, Ran},
  journal={Journal of Mathematical Analysis and Applications},
  volume={356},
  number={1},
  pages={355--362},
  year={2009},
  publisher={Elsevier}
}

@book{engl1996regularizatione,
  title={Regularization of inverse problems},
  author={Engl, Heinz Werner and Hanke, Martin and Neubauer, Andreas},
  volume={375},
  year={1996},
  publisher={Springer Science \& Business Media}
}

@article{hansen1992analysis,
  title={Analysis of discrete ill-posed problems by means of the L-curve},
  author={Hansen, Per Christian},
  journal={SIAM review},
  volume={34},
  number={4},
  pages={561--580},
  year={1992},
  publisher={SIAM}
}

@book{morozov2012methods,
  title={Methods for solving incorrectly posed problems},
  author={Morozov, Vladimir Alekseevich},
  year={2012},
  publisher={Springer Science \& Business Media}
}

@article{kunisch1998iterative,
  title={Iterative choices of regularization parameters in linear inverse problems},
  author={Kunisch, Karl and Zou, Jun},
  journal={Inverse Problems},
  volume={14},
  number={5},
  pages={1247},
  year={1998},
  publisher={IOP Publishing}
}

@book{dennis1996numerical,
  title={Numerical methods for unconstrained optimization and nonlinear equations},
  author={Dennis Jr, John E and Schnabel, Robert B},
  volume={16},
  year={1996},
  publisher={Siam}
}

@article{ito1992choice,
  title={On the choice of the regularization parameter in nonlinear inverse problems},
  author={Ito, Kazufumi and Kunisch, Karl},
  journal={SIAM Journal on Optimization},
  volume={2},
  number={3},
  pages={376--404},
  year={1992},
  publisher={SIAM}
}

@article{engl2000new,
  title={A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction},
  author={Engl, Heinz W and Zou, Jun},
  journal={Inverse Problems},
  volume={16},
  number={6},
  pages={1907},
  year={2000},
  publisher={IOP Publishing}
}

@article{kunisch1993class,
  title={On a class of damped Morozov principles},
  author={Kunisch, Karl},
  journal={Computing},
  volume={50},
  number={3},
  pages={185--198},
  year={1993},
  publisher={Springer}
}

@book{groetsch1993inverse,
  title={Inverse problems in the mathematical sciences},
  author={Groetsch, Charles W and Groetsch, CW},
  volume={52},
  year={1993},
  publisher={Springer}
}

@article{aziz2010comparative,
  title={A comparative study of numerical integration based on Haar wavelets and hybrid functions},
  author={Aziz, Imran and Haq, Fazal and others},
  journal={Computers \& Mathematics with Applications},
  volume={59},
  number={6},
  pages={2026--2036},
  year={2010},
  publisher={Elsevier}
}



@article{bahmanpour2019solving,
  title={Solving Fredholm integral equations of the first kind using M{\"u}ntz wavelets},
  author={Bahmanpour, Maryam and Kajani, Majid Tavassoli and Maleki, Mohammad},
  journal={Applied Numerical Mathematics},
  volume={143},
  pages={159--171},
  year={2019},
  publisher={Elsevier}
}

@article{neggal2016projected,
  title={Projected Tikhonov regularization method for Fredholm integral equations of the first kind},
  author={Neggal, Billel and Boussetila, Nadjib and Rebbani, Faouzia},
  journal={Journal of Inequalities and Applications},
  volume={2016},
  number={1},
  pages={195},
  year={2016},
  publisher={SpringerOpen}
}

@article{wang2008numerical,
  title={Numerical solution of optimal control for scaled systems by hybrid functions},
  author={Wang, Xing Tao},
  journal={International Journal of Innovative Computing, Information and Control},
  volume={4},
  number={4},
  pages={849--856},
  year={2008}
}

@article{hsiao2009hybrid,
  title={Hybrid function method for solving Fredholm and Volterra integral equations of the second kind},
  author={Hsiao, Chun-Hui},
  journal={Journal of Computational and Applied Mathematics},
  volume={230},
  number={1},
  pages={59--68},
  year={2009},
  publisher={Elsevier}
}


@article{mohammed2024regularizationwavelet,
  author  = {Mohammed, A. and others},
  title   = {Regularization wavelet collocation methods for Fredholm integral equations of the first kind},
  journal = {Journal of Applied Mathematics and Computational Mechanics},
  year    = {2024},
  note    = {Bibliographic details to be verified before submission}
}

@article{bechouat2023collocation,
  author  = {Bechouat, M. and others},
  title   = {Collocation methods for ill-posed Fredholm integral equations},
  journal = {Numerical Methods for Partial Differential Equations},
  year    = {2023},
  note    = {Bibliographic details to be verified before submission}
}

@article{taghavi2025regularizedlegendre,
  author  = {Taghavi, M. and others},
  title   = {Regularized Legendre collocation methods for Fredholm integral equations of the first kind},
  journal = {Applied Numerical Mathematics},
  year    = {2025},
  note    = {Bibliographic details to be verified before submission}
}
@article{sathar2018numerical,
  author  = {Sathar, Mohammad Hassan Abou and Rashedee, Ahmad Fadly Nuruzzah and Asbullah, Ahmad Mahayni Asyraf},
  title   = {Numerical Integration Based on Linear Legendre Multiwavelets},
  journal = {Journal of Physics: Conference Series},
  volume  = {1132},
  number  = {1},
  pages   = {012008},
  year    = {2018},
  doi     = {10.1088/1742-6596/1132/1/012008}
}