Shi, Xiulian; Wang, Keyan; Sun, Hui Spectral collocation methods for fractional multipantograph delay differential equations. (English) Zbl 07796575 Lith. Math. J. 63, No. 4, 505-523 (2023). MSC: 65M70 65D32 65M60 65T60 65M12 65M15 45D05 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{X. Shi} et al., Lith. Math. J. 63, No. 4, 505--523 (2023; Zbl 07796575) Full Text: DOI
Ebrahimzadeh, Asiyeh; Hashemizadeh, Elham Optimal control of non-linear Volterra integral equations with weakly singular kernels based on Genocchi polynomials and collocation method. (English) Zbl 07792202 J. Nonlinear Math. Phys. 30, No. 4, 1758-1773 (2023). MSC: 65R20 65K10 49M25 45D05 PDFBibTeX XMLCite \textit{A. Ebrahimzadeh} and \textit{E. Hashemizadeh}, J. Nonlinear Math. Phys. 30, No. 4, 1758--1773 (2023; Zbl 07792202) Full Text: DOI OA License
Sajjadi, Sayed Arsalan; Najafi, Hashem Saberi; Aminikhah, Hossein An error estimation of a Nyström type method for integral-algebraic equations of index-1. (English) Zbl 1522.65262 Math. Sci., Springer 17, No. 3, 253-265 (2023). MSC: 65R20 45D05 45F15 PDFBibTeX XMLCite \textit{S. A. Sajjadi} et al., Math. Sci., Springer 17, No. 3, 253--265 (2023; Zbl 1522.65262) Full Text: DOI
Sajjadi, Sayed Arsalan; Najafi, Hashem Saberi; Aminikhah, Hossein Convergence analysis of a novel fractional product integration method for solving the second kind weakly singular Volterra integral equations with non-smooth solutions based on Jacobi polynomials. (English) Zbl 07727807 Int. J. Comput. Math. 100, No. 8, 1794-1808 (2023). MSC: 45D05 45Exx PDFBibTeX XMLCite \textit{S. A. Sajjadi} et al., Int. J. Comput. Math. 100, No. 8, 1794--1808 (2023; Zbl 07727807) Full Text: DOI
Arrai, Mohamed; Allouch, Chafik; Bouda, Hamza Spectral methods for Hammerstein integral equations with nonsmooth kernels. (English) Zbl 07714962 Int. J. Comput. Methods 20, No. 4, Article ID 2250052, 21 p. (2023). MSC: 65-XX 45-XX PDFBibTeX XMLCite \textit{M. Arrai} et al., Int. J. Comput. Methods 20, No. 4, Article ID 2250052, 21 p. (2023; Zbl 07714962) Full Text: DOI
Pötzsche, Christian Numerical dynamics of integrodifference equations: hierarchies of invariant bundles in \(L^p (\Omega)\). (English) Zbl 1515.65319 Numer. Funct. Anal. Optim. 44, No. 7, 653-686 (2023). MSC: 65P99 37J06 37L25 45M10 47H30 PDFBibTeX XMLCite \textit{C. Pötzsche}, Numer. Funct. Anal. Optim. 44, No. 7, 653--686 (2023; Zbl 1515.65319) Full Text: DOI arXiv
Patel, Subhashree; Laxmi Panigrahi, Bijaya; Nelakanti, Gnaneshwar Multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1524.65975 Int. J. Comput. Math. 100, No. 4, 722-744 (2023). MSC: 65R20 45B05 65J10 65J20 65R30 PDFBibTeX XMLCite \textit{S. Patel} et al., Int. J. Comput. Math. 100, No. 4, 722--744 (2023; Zbl 1524.65975) Full Text: DOI
Talaei, Y.; Lima, P. M. An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions. (English) Zbl 1524.65687 Comput. Appl. Math. 42, No. 4, Paper No. 190, 22 p. (2023). MSC: 65M70 35R09 35R11 26A33 45D05 65M12 PDFBibTeX XMLCite \textit{Y. Talaei} and \textit{P. M. Lima}, Comput. Appl. Math. 42, No. 4, Paper No. 190, 22 p. (2023; Zbl 1524.65687) Full Text: DOI arXiv
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. (English) Zbl 1514.65096 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 671-691 (2023). MSC: 65L60 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{M. Zhang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 671--691 (2023; Zbl 1514.65096) Full Text: DOI
Singh, P. K.; Saha Ray, S. Shifted Chebyshev spectral Galerkin method to solve stochastic Itô-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics. (English) Zbl 07671212 Comput. Appl. Math. 42, No. 3, Paper No. 120, 23 p. (2023). MSC: 65R20 60H30 60H35 45R05 60J65 PDFBibTeX XMLCite \textit{P. K. Singh} and \textit{S. Saha Ray}, Comput. Appl. Math. 42, No. 3, Paper No. 120, 23 p. (2023; Zbl 07671212) Full Text: DOI
Avitabile, Daniele Projection methods for neural field equations. (English) Zbl 1520.65082 SIAM J. Numer. Anal. 61, No. 2, 562-591 (2023). Reviewer: Muhammad Hassan (Aachen) MSC: 65R20 65J08 45K05 92B20 92C20 PDFBibTeX XMLCite \textit{D. Avitabile}, SIAM J. Numer. Anal. 61, No. 2, 562--591 (2023; Zbl 1520.65082) Full Text: DOI arXiv
Mahmoodi, Darani Narges Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations. (English) Zbl 1524.65970 Comput. Methods Differ. Equ. 11, No. 1, 183-196 (2023). MSC: 65R20 45D05 45G05 PDFBibTeX XMLCite \textit{D. N. Mahmoodi}, Comput. Methods Differ. Equ. 11, No. 1, 183--196 (2023; Zbl 1524.65970) Full Text: DOI
Hamza, Bouda; Chafik, Allouch; Mohamed, Tahrichi Legendre superconvergent degenerate kernel and Nyström methods for Fredholm integral equations. (English) Zbl 07665233 Sahand Commun. Math. Anal. 20, No. 1, 45-60 (2023). MSC: 65R20 45L05 45B05 PDFBibTeX XMLCite \textit{B. Hamza} et al., Sahand Commun. Math. Anal. 20, No. 1, 45--60 (2023; Zbl 07665233) Full Text: DOI
Yang, Yin; Tohidi, Emran; Deng, Guoting A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations. (English) Zbl 1498.65229 J. Comput. Appl. Math. 421, Article ID 114852, 29 p. (2023). MSC: 65R20 45J05 45D05 45G10 65M70 41A55 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Appl. Math. 421, Article ID 114852, 29 p. (2023; Zbl 1498.65229) Full Text: DOI
Patra, Asim An epidemiology model involving high-order linear Fredholm integro-differential-difference equations via a novel balancing collocation technique. (English) Zbl 1524.65976 J. Comput. Appl. Math. 421, Article ID 114851, 26 p. (2023). MSC: 65R20 45J05 45B05 92D30 PDFBibTeX XMLCite \textit{A. Patra}, J. Comput. Appl. Math. 421, Article ID 114851, 26 p. (2023; Zbl 1524.65976) Full Text: DOI
Marzban, Hamid Reza; Nezami, Atiyeh Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method. (English) Zbl 1506.65249 Chaos Solitons Fractals 162, Article ID 112499, 14 p. (2022). MSC: 65R20 45D05 45B05 26A33 PDFBibTeX XMLCite \textit{H. R. Marzban} and \textit{A. Nezami}, Chaos Solitons Fractals 162, Article ID 112499, 14 p. (2022; Zbl 1506.65249) Full Text: DOI
Alnair, Mohamed E. A.; Khidir, Ahmed A. Approximation technique for solving linear Volterra integro-differential equations with boundary conditions. (English) Zbl 1502.65267 Abstr. Appl. Anal. 2022, Article ID 2217882, 14 p. (2022). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{M. E. A. Alnair} and \textit{A. A. Khidir}, Abstr. Appl. Anal. 2022, Article ID 2217882, 14 p. (2022; Zbl 1502.65267) Full Text: DOI
Allouch, Chafik; Sbibih, Driss; Tahrichi, Mohamed Spectral approximation methods for Fredholm integral equations with non-smooth kernels. (English) Zbl 1505.65313 Math. Model. Anal. 27, No. 4, 652-667 (2022). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45B05 45L05 PDFBibTeX XMLCite \textit{C. Allouch} et al., Math. Model. Anal. 27, No. 4, 652--667 (2022; Zbl 1505.65313) Full Text: DOI
Panigrahi, Bijaya Laxmi Combined Legendre spectral-finite element methods for two-dimensional Fredholm integral equations of the second kind. (English) Zbl 07618157 Numer. Funct. Anal. Optim. 43, No. 16, 1801-1820 (2022). MSC: 65-XX 45-XX 47-XX 90-XX PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Numer. Funct. Anal. Optim. 43, No. 16, 1801--1820 (2022; Zbl 07618157) Full Text: DOI
Chaolan, Huang; Chunhua, Fang; Jianyu, Wang; Zhengsu, Wan On Clenshaw-Curtis spectral collocation method for Volterra integral equations. (English) Zbl 1513.65515 J. Appl. Math. Inform. 40, No. 5-6, 983-993 (2022). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{H. Chaolan} et al., J. Appl. Math. Inform. 40, No. 5--6, 983--993 (2022; Zbl 1513.65515) Full Text: DOI
Zheng, Weishan; Chen, Yanping Numerical approach for weakly singular equation with nonlinear delay. (English) Zbl 1507.65302 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 2821-2842 (2022). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{Y. Chen}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 2821--2842 (2022; Zbl 1507.65302) Full Text: DOI
Laxmi Panigrahi, Bijaya; Kumar Malik, Jitendra Chebyshev spectral projection methods for Fredholm integral equations of the second kind. (English) Zbl 1496.65238 Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 801-814 (2022). MSC: 65R20 45B05 65R15 PDFBibTeX XMLCite \textit{B. Laxmi Panigrahi} and \textit{J. Kumar Malik}, Adv. Intell. Syst. Comput. 1412, 801--814 (2022; Zbl 1496.65238) Full Text: DOI
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Legendre spectral projection methods for Fredholm integral equations of first kind. (English) Zbl 1502.65278 J. Inverse Ill-Posed Probl. 30, No. 5, 677-691 (2022). MSC: 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{S. Patel} et al., J. Inverse Ill-Posed Probl. 30, No. 5, 677--691 (2022; Zbl 1502.65278) Full Text: DOI
Zhou, Rui-Rui; Sun, Ya-Song; Li, Ben-Wen The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures. (English) Zbl 1524.80028 Comput. Math. Appl. 123, 204-215 (2022). MSC: 80M22 76M22 65M70 45K05 78A40 80A21 65N35 65N55 PDFBibTeX XMLCite \textit{R.-R. Zhou} et al., Comput. Math. Appl. 123, 204--215 (2022; Zbl 1524.80028) Full Text: DOI
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Legendre spectral multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1495.65244 Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022). MSC: 65R20 45B05 47A52 65J10 65J20 PDFBibTeX XMLCite \textit{S. Patel} et al., Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022; Zbl 1495.65244) Full Text: DOI
Shokri, Javad Convergence analysis of numerical solution of secon-order reaction-diffusion equation with boundary conditions. (Persian. English summary) Zbl 07588273 JAMM, J. Adv. Math. Model. 12, No. 2, 289-303 (2022). MSC: 65Mxx 45-XX PDFBibTeX XMLCite \textit{J. Shokri}, JAMM, J. Adv. Math. Model. 12, No. 2, 289--303 (2022; Zbl 07588273) Full Text: DOI
Remili, Walid; Rahmoune, Azedine Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain. (English) Zbl 1524.65980 Int. J. Comput. Math. 99, No. 10, 2018-2041 (2022). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{W. Remili} and \textit{A. Rahmoune}, Int. J. Comput. Math. 99, No. 10, 2018--2041 (2022; Zbl 1524.65980) Full Text: DOI
Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa Numerical solution of distributed order integro-differential equations. (English) Zbl 1505.65324 Fractals 30, No. 5, Article ID 2240123, 11 p. (2022). MSC: 65R20 45J05 45D05 45B05 PDFBibTeX XMLCite \textit{A. Zhang} et al., Fractals 30, No. 5, Article ID 2240123, 11 p. (2022; Zbl 1505.65324) Full Text: DOI
Fazeli, S.; Hojjati, G. A class of two-step collocation methods for Volterra integro-differential equations. (English) Zbl 1502.65273 Appl. Numer. Math. 181, 59-75 (2022). MSC: 65R20 45J05 45D05 65L60 65L20 PDFBibTeX XMLCite \textit{S. Fazeli} and \textit{G. Hojjati}, Appl. Numer. Math. 181, 59--75 (2022; Zbl 1502.65273) Full Text: DOI
Zheng, Wei-shan Convergence analysis for delay Volterra integral equation. (English) Zbl 1513.65540 Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 306-316 (2022). MSC: 65R20 45D05 41A50 65D32 PDFBibTeX XMLCite \textit{W.-s. Zheng}, Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 306--316 (2022; Zbl 1513.65540) Full Text: DOI
Zheng, Weishan; Chen, Yanping A spectral method for a weakly singular Volterra integro-differential equation with pantograph delay. (English) Zbl 1513.65541 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 387-402 (2022). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 387--402 (2022; Zbl 1513.65541) Full Text: DOI
Pishbin, S. Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials. (English) Zbl 1503.65321 Appl. Numer. Math. 179, 221-237 (2022). MSC: 65R20 45F05 PDFBibTeX XMLCite \textit{S. Pishbin}, Appl. Numer. Math. 179, 221--237 (2022; Zbl 1503.65321) Full Text: DOI
Behera, S.; Saha Ray, S. An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. (English) Zbl 1491.65054 J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022). MSC: 65L03 45D05 65L60 65R20 45J05 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. Saha Ray}, J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022; Zbl 1491.65054) Full Text: DOI
Shokri, Javad; Pishbin, Saeed On the convergence analysis of the Tau method applied to fourth-order partial differential equation based on Volterra-Fredholm integral equations. (English) Zbl 1484.65272 Appl. Numer. Math. 173, 144-157 (2022). MSC: 65M70 65M12 45B05 45D05 PDFBibTeX XMLCite \textit{J. Shokri} and \textit{S. Pishbin}, Appl. Numer. Math. 173, 144--157 (2022; Zbl 1484.65272) Full Text: DOI
Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations. (English) Zbl 1499.65734 Comput. Appl. Math. 41, No. 1, Paper No. 2, 21 p. (2022). MSC: 65R20 45B05 26A33 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 41, No. 1, Paper No. 2, 21 p. (2022; Zbl 1499.65734) Full Text: DOI
Zhang, Chao; Liu, Zhipeng; Chen, Sheng; Tao, DongYa New spectral element method for Volterra integral equations with weakly singular kernel. (English) Zbl 1483.65234 J. Comput. Appl. Math. 404, Article ID 113902, 17 p. (2022). MSC: 65R20 41A25 42B20 45D05 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Appl. Math. 404, Article ID 113902, 17 p. (2022; Zbl 1483.65234) Full Text: DOI
Yao, Guoqing; Tao, DongYa; Zhang, Chao A hybrid spectral method for the nonlinear Volterra integral equations with weakly singular kernel and vanishing delays. (English) Zbl 1510.65333 Appl. Math. Comput. 417, Article ID 126780, 16 p. (2022). MSC: 65R20 45D05 65M60 42B20 45G10 65M12 65M15 PDFBibTeX XMLCite \textit{G. Yao} et al., Appl. Math. Comput. 417, Article ID 126780, 16 p. (2022; Zbl 1510.65333) Full Text: DOI
Dehestani, H.; Ordokhani, Y. An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations. (English) Zbl 1481.65266 J. Comput. Appl. Math. 403, Article ID 113851, 14 p. (2022). MSC: 65R20 45D05 45K05 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, J. Comput. Appl. Math. 403, Article ID 113851, 14 p. (2022; Zbl 1481.65266) Full Text: DOI
Bidari, Azizeh; Dastmalchi Saei, Farhad; Baghmisheh, Mahdi; Allahviranloo, Tofigh A new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equations. (English) Zbl 1498.65225 Soft Comput. 25, No. 8, 5855-5865 (2021). MSC: 65R20 45B05 45J05 PDFBibTeX XMLCite \textit{A. Bidari} et al., Soft Comput. 25, No. 8, 5855--5865 (2021; Zbl 1498.65225) Full Text: DOI
Doostdar, Mohammad Reza; Damercheli, Tayebeh; Vahidi, Alireza; Babolian, Esmail; Azimzadeh, Zahra An efficient numerical method for solving systems of fractional ordinary differential equations. (English) Zbl 1524.65253 J. Math. Ext. 15, No. 5, Paper No. 34, 27 p. (2021). MSC: 65L05 34A08 45J05 65R20 PDFBibTeX XMLCite \textit{M. R. Doostdar} et al., J. Math. Ext. 15, No. 5, Paper No. 34, 27 p. (2021; Zbl 1524.65253) Full Text: DOI
Panigrahi, Bijaya Laxmi; Malik, Jitendra Kumar Chebyshev spectral projection methods for two-dimensional Fredholm integral equations of second kind. (English) Zbl 1486.65298 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 70, 21 p. (2021). MSC: 65R20 45B05 65N35 PDFBibTeX XMLCite \textit{B. L. Panigrahi} and \textit{J. K. Malik}, Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 70, 21 p. (2021; Zbl 1486.65298) Full Text: DOI
Wu, Qingqing; Wu, Zhongshu; Zeng, Xiaoyan A Jacobi spectral collocation method for solving fractional integro-differential equations. (English) Zbl 1499.65582 Commun. Appl. Math. Comput. 3, No. 3, 509-526 (2021). MSC: 65M70 35R11 26A33 65M12 45K05 45D05 65D32 PDFBibTeX XMLCite \textit{Q. Wu} et al., Commun. Appl. Math. Comput. 3, No. 3, 509--526 (2021; Zbl 1499.65582) Full Text: DOI
Peykrayegan, N.; Ghovatmand, M.; Noori Skandari, M. H. An efficient method for linear fractional delay integro-differential equations. (English) Zbl 1476.34164 Comput. Appl. Math. 40, No. 7, Paper No. 249, 33 p. (2021). MSC: 34K37 45J05 65L03 65D05 PDFBibTeX XMLCite \textit{N. Peykrayegan} et al., Comput. Appl. Math. 40, No. 7, Paper No. 249, 33 p. (2021; Zbl 1476.34164) Full Text: DOI
Azimi, Ruhangiz; Pourgholi, Reza; Tahmasbi, Ali Application of tau approach for solving integro-differential equations with a weakly singular kernel. (English) Zbl 1473.65354 Iran. J. Math. Sci. Inform. 16, No. 1, 145-168 (2021). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{R. Azimi} et al., Iran. J. Math. Sci. Inform. 16, No. 1, 145--168 (2021; Zbl 1473.65354) Full Text: Link
Deng, Guoting; Yang, Yin; Tohidi, Emran High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels. (English) Zbl 1508.65178 Appl. Math. Comput. 396, Article ID 125866, 24 p. (2021). MSC: 65R20 65L60 45D05 65L05 65L20 PDFBibTeX XMLCite \textit{G. Deng} et al., Appl. Math. Comput. 396, Article ID 125866, 24 p. (2021; Zbl 1508.65178) Full Text: DOI
Azevedo, Juarez S.; Oliveira, Saulo P.; Afonso, Suzete M.; da Silva, Mariana P. G. Analysis and spectral element solution of nonlinear integral equations of Hammerstein type. (English) Zbl 1470.65209 Singh, Harendra (ed.) et al., Topics in integral and integro-differential equations. Theory and applications. Cham: Springer. Stud. Syst. Decis. Control 340, 41-62 (2021). MSC: 65R20 45D05 45G10 46E35 PDFBibTeX XMLCite \textit{J. S. Azevedo} et al., Stud. Syst. Decis. Control 340, 41--62 (2021; Zbl 1470.65209) Full Text: DOI
Ranjbar, H.; Ghoreishi, F. A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions. (English) Zbl 1473.65357 Calcolo 58, No. 2, Paper No. 21, 23 p. (2021). MSC: 65R20 45D05 65D12 PDFBibTeX XMLCite \textit{H. Ranjbar} and \textit{F. Ghoreishi}, Calcolo 58, No. 2, Paper No. 21, 23 p. (2021; Zbl 1473.65357) Full Text: DOI
Panigrahi, Bijaya Laxmi Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind. (English) Zbl 1472.65167 Appl. Numer. Math. 168, 235-250 (2021). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Appl. Numer. Math. 168, 235--250 (2021; Zbl 1472.65167) Full Text: DOI
Maleknejad, K.; Dehkordi, M. Soleiman Numerical solutions of two-dimensional nonlinear integral equations via Laguerre wavelet method with convergence analysis. (English) Zbl 1474.65502 Appl. Math., Ser. B (Engl. Ed.) 36, No. 1, 83-98 (2021). MSC: 65R20 45B05 45D05 45G10 65T60 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{M. S. Dehkordi}, Appl. Math., Ser. B (Engl. Ed.) 36, No. 1, 83--98 (2021; Zbl 1474.65502) Full Text: DOI
Abbaszadeh, D.; Tavassoli Kajani, M.; Momeni, M.; Zahraei, M.; Maleki, M. Solving fractional Fredholm integro-differential equations using Legendre wavelets. (English) Zbl 1465.65165 Appl. Numer. Math. 166, 168-185 (2021). MSC: 65R20 45J05 65L60 65L20 PDFBibTeX XMLCite \textit{D. Abbaszadeh} et al., Appl. Numer. Math. 166, 168--185 (2021; Zbl 1465.65165) Full Text: DOI
Zhang, Xiaoguang; Du, Hong An improved collocation method for solving a fractional integro-differential equation. (English) Zbl 1465.65064 Comput. Appl. Math. 40, No. 1, Paper No. 21, 14 p. (2021). MSC: 65L60 45J05 65L20 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{H. Du}, Comput. Appl. Math. 40, No. 1, Paper No. 21, 14 p. (2021; Zbl 1465.65064) Full Text: DOI
Ma, Xiaohua; Huang, Chengming Recovery of high order accuracy in spectral collocation method for linear Volterra integral equations of the third-kind with non-smooth solutions. (English) Zbl 1472.65163 J. Comput. Appl. Math. 392, Article ID 113458, 15 p. (2021). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{X. Ma} and \textit{C. Huang}, J. Comput. Appl. Math. 392, Article ID 113458, 15 p. (2021; Zbl 1472.65163) Full Text: DOI
Meyer, Marcela Molina; Prieto Medina, Frank Richard Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 1524.65896 Comput. Math. Appl. 89, 1-19 (2021). MSC: 65N35 35J05 35J25 65L10 31A30 45D05 41A50 PDFBibTeX XMLCite \textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 1524.65896) Full Text: DOI arXiv
Gu, Zhendong; Kong, Yinying Spectral collocation method for nonlinear Riemann-Liouville fractional differential system. (English) Zbl 1489.65113 Calcolo 58, No. 2, Paper No. 12, 28 p. (2021). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65L60 65L20 45D05 34A08 PDFBibTeX XMLCite \textit{Z. Gu} and \textit{Y. Kong}, Calcolo 58, No. 2, Paper No. 12, 28 p. (2021; Zbl 1489.65113) Full Text: DOI
Yang, Changqing; Hou, Jianhua Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations. (English) Zbl 1458.65072 Numer. Algorithms 86, No. 3, 1089-1108 (2021). MSC: 65L03 34K37 45D05 65L60 65R20 PDFBibTeX XMLCite \textit{C. Yang} and \textit{J. Hou}, Numer. Algorithms 86, No. 3, 1089--1108 (2021; Zbl 1458.65072) Full Text: DOI
Mirzaee, Farshid; Alipour, Sahar Quintic B-spline collocation method to solve \(n\)-dimensional stochastic Itô-Volterra integral equations. (English) Zbl 1462.65223 J. Comput. Appl. Math. 384, Article ID 113153, 9 p. (2021). MSC: 65R20 60H20 45D05 65D07 PDFBibTeX XMLCite \textit{F. Mirzaee} and \textit{S. Alipour}, J. Comput. Appl. Math. 384, Article ID 113153, 9 p. (2021; Zbl 1462.65223) Full Text: DOI
Dehbozorgi, Raziyeh; Maleknejad, Khosrow Direct operational vector scheme for first-kind nonlinear Volterra integral equations and its convergence analysis. (English) Zbl 1461.65264 Mediterr. J. Math. 18, No. 1, Paper No. 31, 22 p. (2021). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{R. Dehbozorgi} and \textit{K. Maleknejad}, Mediterr. J. Math. 18, No. 1, Paper No. 31, 22 p. (2021; Zbl 1461.65264) Full Text: DOI
Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M. Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. (English) Zbl 1459.65243 Numer. Algorithms 86, No. 2, 675-691 (2021). MSC: 65R20 45D05 65T60 PDFBibTeX XMLCite \textit{S. Nemati} et al., Numer. Algorithms 86, No. 2, 675--691 (2021; Zbl 1459.65243) Full Text: DOI arXiv
Sajjadi, Sayed Arsalan; Pishbin, Saeed Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels. (English) Zbl 1456.65187 Numer. Algorithms 86, No. 1, 25-54 (2021). MSC: 65R20 45D05 45F15 PDFBibTeX XMLCite \textit{S. A. Sajjadi} and \textit{S. Pishbin}, Numer. Algorithms 86, No. 1, 25--54 (2021; Zbl 1456.65187) Full Text: DOI
Rabbani, Mohsen Compact operators for existence of solution and projection method with multi-wavelet bases to solve (F.IES) and error analysis in Sobolev space. (English) Zbl 1453.65461 J. Comput. Appl. Math. 382, Article ID 113090, 12 p. (2021). MSC: 65R20 45B05 42C05 65L60 65T60 PDFBibTeX XMLCite \textit{M. Rabbani}, J. Comput. Appl. Math. 382, Article ID 113090, 12 p. (2021; Zbl 1453.65461) Full Text: DOI
Dehestani, H.; Ordokhani, Y.; Razzaghi, M. Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations. (English) Zbl 1452.65403 J. Comput. Appl. Math. 382, Article ID 113070, 17 p. (2021). MSC: 65R20 45J05 45G10 65D32 PDFBibTeX XMLCite \textit{H. Dehestani} et al., J. Comput. Appl. Math. 382, Article ID 113070, 17 p. (2021; Zbl 1452.65403) Full Text: DOI
Azevedo, J. S.; Afonso, S. M.; Da Silva, M. P. G. Numerical analysis of the Chebyshev collocation method for functional Volterra integral equations. (English) Zbl 1525.65134 TEMA, Tend. Mat. Apl. Comput. 21, No. 3, 521-536 (2020). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{J. S. Azevedo} et al., TEMA, Tend. Mat. Apl. Comput. 21, No. 3, 521--536 (2020; Zbl 1525.65134) Full Text: DOI
Nili Ahmadabadi, M. An efficient method for mixed integral equations with phase lag. (English) Zbl 1483.65224 Int. J. Comput. Math. 97, No. 6, 1170-1182 (2020). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{M. Nili Ahmadabadi}, Int. J. Comput. Math. 97, No. 6, 1170--1182 (2020; Zbl 1483.65224) Full Text: DOI
Nili Ahmadabadi, M.; Laeli Dastjerdi, H. Numerical treatment of nonlinear Volterra integral equations of Urysohn type with proportional delay. (English) Zbl 1483.65225 Int. J. Comput. Math. 97, No. 3, 656-666 (2020). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{M. Nili Ahmadabadi} and \textit{H. Laeli Dastjerdi}, Int. J. Comput. Math. 97, No. 3, 656--666 (2020; Zbl 1483.65225) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation. (English) Zbl 1524.65645 Math. Model. Anal. 25, No. 4, 680-701 (2020). MSC: 65M70 35R09 45K05 65M15 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Math. Model. Anal. 25, No. 4, 680--701 (2020; Zbl 1524.65645) Full Text: DOI
Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. (English) Zbl 1473.65223 Commun. Comput. Phys. 27, No. 4, 1140-1173 (2020). MSC: 65M60 45K05 65M50 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 27, No. 4, 1140--1173 (2020; Zbl 1473.65223) Full Text: DOI arXiv
Shi, Xiulian; Chen, Yanping; Huang, Yunqing; Huang, Fenglin Spectral collocation methods for second-order Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1488.65759 Adv. Appl. Math. Mech. 12, No. 2, 480-502 (2020). MSC: 65R20 65M70 45D05 45J05 PDFBibTeX XMLCite \textit{X. Shi} et al., Adv. Appl. Math. Mech. 12, No. 2, 480--502 (2020; Zbl 1488.65759) Full Text: DOI
Lotfi, Mahmoud; Alipanah, Amjad Legendre spectral element method for solving Volterra-integro differential equations. (English) Zbl 1471.65159 Results Appl. Math. 7, Article ID 100116, 11 p. (2020). MSC: 65M70 65M15 60H15 35R09 45D05 42C10 PDFBibTeX XMLCite \textit{M. Lotfi} and \textit{A. Alipanah}, Results Appl. Math. 7, Article ID 100116, 11 p. (2020; Zbl 1471.65159) Full Text: DOI
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. (English) Zbl 1488.65525 Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020). MSC: 65M70 33C45 35Q40 41A55 41A25 65D32 35R09 45K05 45D05 35R11 26A33 65F10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020; Zbl 1488.65525) Full Text: DOI
Azevedo, Juarez. S.; Oliveira, Saulo P.; Rocha, Adson M. Spectral element approximation of functional integral equations. (English) Zbl 1463.45006 Electron. J. Math. Anal. Appl. 8, No. 2, 172-187 (2020). MSC: 45D05 45G10 46E35 65R20 PDFBibTeX XMLCite \textit{Juarez. S. Azevedo} et al., Electron. J. Math. Anal. Appl. 8, No. 2, 172--187 (2020; Zbl 1463.45006) Full Text: Link
Wang, Lina; Yi, Lijun; Jia, Hongli An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. (English) Zbl 1462.65097 J. Integral Equations Appl. 32, No. 1, 101-128 (2020). MSC: 65L60 65L70 45D05 45J05 65R20 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Integral Equations Appl. 32, No. 1, 101--128 (2020; Zbl 1462.65097) Full Text: DOI Euclid
Patel, Subhashree; Panigrahi, Bijaya Laxmi Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type. (English) Zbl 1463.65433 J. Anal. 28, No. 2, 387-413 (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65R20 45G05 PDFBibTeX XMLCite \textit{S. Patel} and \textit{B. L. Panigrahi}, J. Anal. 28, No. 2, 387--413 (2020; Zbl 1463.65433) Full Text: DOI
Mandal, Moumita; Nelakanti, Gnaneshwar Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type. (English) Zbl 1456.65186 J. Anal. 28, No. 2, 323-349 (2020). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{M. Mandal} and \textit{G. Nelakanti}, J. Anal. 28, No. 2, 323--349 (2020; Zbl 1456.65186) Full Text: DOI
Nili Ahmadabadi, M. An efficient method for the numerical solution of functional integral equations. (English) Zbl 1455.65237 J. Linear Topol. Algebra 9, No. 2, 105-111 (2020). MSC: 65R20 45G10 65D12 PDFBibTeX XMLCite \textit{M. Nili Ahmadabadi}, J. Linear Topol. Algebra 9, No. 2, 105--111 (2020; Zbl 1455.65237) Full Text: Link
Ganji, R. M.; Jafari, H.; Nemati, S. A new approach for solving integro-differential equations of variable order. (English) Zbl 1450.45005 J. Comput. Appl. Math. 379, Article ID 112946, 12 p. (2020). MSC: 45J05 65R20 PDFBibTeX XMLCite \textit{R. M. Ganji} et al., J. Comput. Appl. Math. 379, Article ID 112946, 12 p. (2020; Zbl 1450.45005) Full Text: DOI
Zaky, Mahmoud A.; Ameen, Ibrahem G. A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions. (English) Zbl 1453.65198 Numer. Algorithms 84, No. 1, 63-89 (2020). MSC: 65L60 65L70 65L10 45D05 45B05 34A08 65L20 65R20 PDFBibTeX XMLCite \textit{M. A. Zaky} and \textit{I. G. Ameen}, Numer. Algorithms 84, No. 1, 63--89 (2020; Zbl 1453.65198) Full Text: DOI
Benyoussef, Soufiane; Rahmoune, Azedine Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line. (English) Zbl 1451.65233 J. Comput. Appl. Math. 377, Article ID 112894, 10 p. (2020). MSC: 65R20 45J05 65N35 PDFBibTeX XMLCite \textit{S. Benyoussef} and \textit{A. Rahmoune}, J. Comput. Appl. Math. 377, Article ID 112894, 10 p. (2020; Zbl 1451.65233) Full Text: DOI
Katani, R.; Mckee, S. A hybrid Legendre block-pulse method for mixed Volterra-Fredholm integral equations. (English) Zbl 1436.65213 J. Comput. Appl. Math. 376, Article ID 112867, 12 p. (2020). MSC: 65R20 45G10 45D05 PDFBibTeX XMLCite \textit{R. Katani} and \textit{S. Mckee}, J. Comput. Appl. Math. 376, Article ID 112867, 12 p. (2020; Zbl 1436.65213) Full Text: DOI
Nemati, S.; Lima, P. M.; Sedaghat, S. Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations. (English) Zbl 1464.65125 Appl. Numer. Math. 149, 99-112 (2020). MSC: 65M60 65H10 65T60 65D32 65M15 35R09 45K05 35R11 35R07 PDFBibTeX XMLCite \textit{S. Nemati} et al., Appl. Numer. Math. 149, 99--112 (2020; Zbl 1464.65125) Full Text: DOI arXiv
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. (English) Zbl 1436.65215 Numer. Algorithms 83, No. 3, 987-1006 (2020). MSC: 65R20 45D05 65L60 65F22 PDFBibTeX XMLCite \textit{P. Mokhtary} et al., Numer. Algorithms 83, No. 3, 987--1006 (2020; Zbl 1436.65215) Full Text: DOI
Zhang, Xiao-Yong; Li, Jun-Lin A multistep Legendre pseudo-spectral method for nonlinear Volterra integral equations. (English) Zbl 07168433 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 23-35 (2020). MSC: 45D05 45G10 41A10 65L60 65L70 PDFBibTeX XMLCite \textit{X.-Y. Zhang} and \textit{J.-L. Li}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 23--35 (2020; Zbl 07168433) Full Text: DOI
Hermanns, Miguel; Ibáñez, Santiago Harmonic thermal response of thermally interacting geothermal boreholes. (English) Zbl 1429.86014 SIAM J. Appl. Math. 80, No. 1, 262-288 (2020). MSC: 86A60 86A70 34E05 35C20 35K05 35Q79 45A05 PDFBibTeX XMLCite \textit{M. Hermanns} and \textit{S. Ibáñez}, SIAM J. Appl. Math. 80, No. 1, 262--288 (2020; Zbl 1429.86014) Full Text: DOI
Gu, Zhendong Chebyshev spectral collocation method for system of nonlinear Volterra integral equations. (English) Zbl 1432.65196 Numer. Algorithms 83, No. 1, 243-263 (2020). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Z. Gu}, Numer. Algorithms 83, No. 1, 243--263 (2020; Zbl 1432.65196) Full Text: DOI
Alipour, Sahar; Mirzaee, Farshid An iterative algorithm for solving two dimensional nonlinear stochastic integral equations: a combined successive approximations method with bilinear spline interpolation. (English) Zbl 1433.65344 Appl. Math. Comput. 371, Article ID 124947, 12 p. (2020). MSC: 65R20 65D30 45D05 60H20 60H35 65C30 PDFBibTeX XMLCite \textit{S. Alipour} and \textit{F. Mirzaee}, Appl. Math. Comput. 371, Article ID 124947, 12 p. (2020; Zbl 1433.65344) Full Text: DOI
Zhang, Xiao-yong A new strategy for the numerical solution of nonlinear Volterra integral equations with vanishing delays. (English) Zbl 1433.65361 Appl. Math. Comput. 365, Article ID 124608, 19 p. (2020). MSC: 65R20 45D05 45G10 65L60 65L70 PDFBibTeX XMLCite \textit{X.-y. Zhang}, Appl. Math. Comput. 365, Article ID 124608, 19 p. (2020; Zbl 1433.65361) Full Text: DOI
Yang, Yin; Tohidi, Emran; Ma, Xiaohua; Kang, Sujuan Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels. (English) Zbl 1436.45008 J. Comput. Appl. Math. 366, Article ID 112403, 17 p. (2020). Reviewer: Josef Kofroň (Praha) MSC: 45L05 45D05 65R20 45E10 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Appl. Math. 366, Article ID 112403, 17 p. (2020; Zbl 1436.45008) Full Text: DOI
Zheng, Weishan; Chen, Yanping Numerical analysis for Volterra integral equation with two kinds of delay. (English) Zbl 1499.65779 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 607-617 (2019). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 607--617 (2019; Zbl 1499.65779) Full Text: DOI
Panigrahi, Bijaya Laxmi Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel. (English) Zbl 1481.65270 Int. J. Comput. Math. 96, No. 6, 1230-1253 (2019). MSC: 65R20 45G05 PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Int. J. Comput. Math. 96, No. 6, 1230--1253 (2019; Zbl 1481.65270) Full Text: DOI
Zheng, Weishan; Chen, Yanping; Huang, Yunqing Convergence analysis of Legendre-collocation spectral methods for second order Volterra integro-differential equation with delay. (English) Zbl 1488.65768 Adv. Appl. Math. Mech. 11, No. 2, 486-500 (2019). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{W. Zheng} et al., Adv. Appl. Math. Mech. 11, No. 2, 486--500 (2019; Zbl 1488.65768) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations. (English) Zbl 1464.65078 Commun. Nonlinear Sci. Numer. Simul. 72, 342-359 (2019). MSC: 65L60 34K37 45J05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 72, 342--359 (2019; Zbl 1464.65078) Full Text: DOI
Yousefi, A.; Javadi, S.; Babolian, E. A computational approach for solving fractional integral equations based on Legendre collocation method. (English) Zbl 1452.65414 Math. Sci., Springer 13, No. 3, 231-240 (2019). MSC: 65R20 34A08 45A05 PDFBibTeX XMLCite \textit{A. Yousefi} et al., Math. Sci., Springer 13, No. 3, 231--240 (2019; Zbl 1452.65414) Full Text: DOI
Gu, Zhendong Spectral collocation method for system of weakly singular Volterra integral equations. (English) Zbl 1439.65226 Adv. Comput. Math. 45, No. 5-6, 2677-2699 (2019). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45D05 45G15 PDFBibTeX XMLCite \textit{Z. Gu}, Adv. Comput. Math. 45, No. 5--6, 2677--2699 (2019; Zbl 1439.65226) Full Text: DOI
Wei, Yunxia; Chen, Yanping; Huang, Yunqing Legendre collocation method for Volterra integro-differential algebraic equation. (English) Zbl 1431.65247 Comput. Methods Appl. Math. 19, No. 4, 833-847 (2019). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{Y. Wei} et al., Comput. Methods Appl. Math. 19, No. 4, 833--847 (2019; Zbl 1431.65247) Full Text: DOI
Asadpour, Sasan; Hosseinzadeh, Hassan; Yazdani, AllahBakhsh Numerical solution of the Lane-Emden equations with moving least squares method. (English) Zbl 1483.65116 Appl. Appl. Math. 14, No. 2, 762-776 (2019). MSC: 65L05 65R20 45D05 PDFBibTeX XMLCite \textit{S. Asadpour} et al., Appl. Appl. Math. 14, No. 2, 762--776 (2019; Zbl 1483.65116) Full Text: Link
Yang, Yin; Tang, Zhuyan; Huang, Yunqing Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method. (English) Zbl 1429.65327 Appl. Math. Comput. 349, 314-324 (2019). MSC: 65R20 45B05 65M70 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 349, 314--324 (2019; Zbl 1429.65327) Full Text: DOI
Roy, Rupsha; Vijesh, V. Antony; Chandhini, G. Iterative methods for a fractional-order Volterra population model. (English) Zbl 1435.45002 J. Integral Equations Appl. 31, No. 2, 245-264 (2019). MSC: 45D05 45J05 47J25 34A08 92D25 65R20 PDFBibTeX XMLCite \textit{R. Roy} et al., J. Integral Equations Appl. 31, No. 2, 245--264 (2019; Zbl 1435.45002) Full Text: DOI Euclid
Saffarzadeh, M.; Heydari, M.; Loghmani, G. B. Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Itô-Volterra integral equations with \(m\)-dimensional Brownian motion. (English) Zbl 1477.65024 Appl. Numer. Math. 146, 182-198 (2019). MSC: 65C30 65R20 45D05 45R05 60H20 60H35 PDFBibTeX XMLCite \textit{M. Saffarzadeh} et al., Appl. Numer. Math. 146, 182--198 (2019; Zbl 1477.65024) Full Text: DOI
Shi, Xiulian; Huang, Fenglin; Hu, Hanzhang Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations. (English) Zbl 1438.65343 Comput. Appl. Math. 38, No. 2, Paper No. 56, 21 p. (2019). MSC: 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{X. Shi} et al., Comput. Appl. Math. 38, No. 2, Paper No. 56, 21 p. (2019; Zbl 1438.65343) Full Text: DOI
Daliri, M. H.; Saberi-Nadjafi, J. Improved variational iteration method for solving a class of nonlinear Fredholm integral equations. (English) Zbl 1427.45002 S\(\vec{\text{e}}\)MA J. 76, No. 1, 65-77 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 45G10 65R20 45B05 65M70 PDFBibTeX XMLCite \textit{M. H. Daliri} and \textit{J. Saberi-Nadjafi}, S\(\vec{\text{e}}\)MA J. 76, No. 1, 65--77 (2019; Zbl 1427.45002) Full Text: DOI
Talaei, Y. Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations. (English) Zbl 1429.65325 J. Appl. Math. Comput. 60, No. 1-2, 201-222 (2019). MSC: 65R20 45D05 45E10 65M70 33C45 PDFBibTeX XMLCite \textit{Y. Talaei}, J. Appl. Math. Comput. 60, No. 1--2, 201--222 (2019; Zbl 1429.65325) Full Text: DOI