Dehbozorgi, Raziyeh; Nedaiasl, Khadijeh Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an hp-version collocation approach. (English) Zbl 1471.65222 Appl. Numer. Math. 161, 111-136 (2021). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{R. Dehbozorgi} and \textit{K. Nedaiasl}, Appl. Numer. Math. 161, 111--136 (2021; Zbl 1471.65222) Full Text: DOI arXiv
Nedaiasl, Khadijeh; Dehbozorgi, Raziyeh; Maleknejad, Khosrow \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind. (English) Zbl 1437.65244 Appl. Numer. Math. 150, 452-477 (2020). MSC: 65R20 65L60 45J05 45D05 65L20 PDFBibTeX XMLCite \textit{K. Nedaiasl} et al., Appl. Numer. Math. 150, 452--477 (2020; Zbl 1437.65244) Full Text: DOI arXiv
Assari, Pouria; Dehghan, Mehdi The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions. (English) Zbl 1446.65205 Appl. Numer. Math. 131, 140-157 (2018). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Numer. Math. 131, 140--157 (2018; Zbl 1446.65205) Full Text: DOI
Conte, Dajana; Paternoster, Beatrice Parallel methods for weakly singular Volterra integral equations on GPUs. (English) Zbl 1357.65315 Appl. Numer. Math. 114, 30-37 (2017). MSC: 65R20 45D05 45G05 65Y05 45G15 PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, Appl. Numer. Math. 114, 30--37 (2017; Zbl 1357.65315) Full Text: DOI
Shoja, A.; Vahidi, A. R.; Babolian, E. A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type. (English) Zbl 1354.65281 Appl. Numer. Math. 112, 79-90 (2017). MSC: 65R20 45G05 45D05 PDFBibTeX XMLCite \textit{A. Shoja} et al., Appl. Numer. Math. 112, 79--90 (2017; Zbl 1354.65281) Full Text: DOI
Hosseini, S. A.; Abdi, A. On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations. (English) Zbl 1329.65315 Appl. Numer. Math. 100, 1-13 (2016). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{S. A. Hosseini} and \textit{A. Abdi}, Appl. Numer. Math. 100, 1--13 (2016; Zbl 1329.65315) Full Text: DOI
Mehdiyeva, G. Yu.; Imanova, M. N.; Ibrahimov, V. R. On one application of forward jumping methods. (English) Zbl 1302.65263 Appl. Numer. Math. 72, 234-245 (2013). MSC: 65N38 45G10 65R20 65N12 35J60 PDFBibTeX XMLCite \textit{G. Yu. Mehdiyeva} et al., Appl. Numer. Math. 72, 234--245 (2013; Zbl 1302.65263) Full Text: DOI
Izzo, G.; Russo, E.; Chiapparelli, C. Highly stable Runge-Kutta methods for Volterra integral equations. (English) Zbl 1243.65157 Appl. Numer. Math. 62, No. 8, 1002-1013 (2012). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{G. Izzo} et al., Appl. Numer. Math. 62, No. 8, 1002--1013 (2012; Zbl 1243.65157) Full Text: DOI
Branco, J. R.; Ferreira, J. A.; da Silva, P. Non-Fickian delay reaction-diffusion equations: theoretical and numerical study. (English) Zbl 1197.65221 Appl. Numer. Math. 60, No. 5, 531-549 (2010). Reviewer: Neville Ford (Chester) MSC: 65R20 45D05 45J05 45G10 PDFBibTeX XMLCite \textit{J. R. Branco} et al., Appl. Numer. Math. 60, No. 5, 531--549 (2010; Zbl 1197.65221) Full Text: DOI
Kauthen, J.-P. A survey of singularly perturbed Volterra equations. (English) Zbl 0883.45003 Appl. Numer. Math. 24, No. 2-3, 95-114 (1997). Reviewer: J.Banaś (Rzeszów) MSC: 45G10 45G05 45J05 65R20 45M05 PDFBibTeX XMLCite \textit{J. P. Kauthen}, Appl. Numer. Math. 24, No. 2--3, 95--114 (1997; Zbl 0883.45003) Full Text: DOI
Hairer, E.; Maass, P. Numerical methods for singular nonlinear integrodifferential equations. (English) Zbl 0631.65142 Appl. Numer. Math. 3, 243-256 (1987). Reviewer: D.Kershaw MSC: 65R20 45G05 45J05 76F99 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{P. Maass}, Appl. Numer. Math. 3, 243--256 (1987; Zbl 0631.65142) Full Text: DOI
Frankel, J. I.; Vick, Brian An exact methodology for solving nonlinear diffusion equations based on integral transforms. (English) Zbl 0628.65108 Appl. Numer. Math. 3, 467-477 (1987). Reviewer: St.Burys MSC: 65N35 65R10 35K60 45G10 35C15 PDFBibTeX XMLCite \textit{J. I. Frankel} and \textit{B. Vick}, Appl. Numer. Math. 3, 467--477 (1987; Zbl 0628.65108) Full Text: DOI