Mohammadi, K.; Alipanah, A. Numerical solution of the system of second-order integro-differential equations using non-classical double sinc method. (English) Zbl 07773383 Results Appl. Math. 19, Article ID 100381, 17 p. (2023). MSC: 65Lxx 45Jxx 65Rxx PDFBibTeX XMLCite \textit{K. Mohammadi} and \textit{A. Alipanah}, Results Appl. Math. 19, Article ID 100381, 17 p. (2023; Zbl 07773383) Full Text: DOI
Karaçayir, Murat; Yüzbaşi, Şuayip A Galerkin-type approach to solve systems of linear Volterra-Fredholm integro-differential equations. (English) Zbl 1505.65320 Turk. J. Math. 46, No. 8, 3121-3138 (2022). MSC: 65R20 45J05 45D05 45B05 PDFBibTeX XMLCite \textit{M. Karaçayir} and \textit{Ş. Yüzbaşi}, Turk. J. Math. 46, No. 8, 3121--3138 (2022; Zbl 1505.65320) Full Text: DOI
Sunthrayuth, Pongsakorn; Ullah, Roman; Khan, Adnan; Shah, Rasool; Kafle, Jeevan; Mahariq, Ibrahim; Jarad, Fahd Numerical analysis of the fractional-order nonlinear system of Volterra integro-differential equations. (English) Zbl 07420392 J. Funct. Spaces 2021, Article ID 1537958, 10 p. (2021). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{P. Sunthrayuth} et al., J. Funct. Spaces 2021, Article ID 1537958, 10 p. (2021; Zbl 07420392) Full Text: DOI
Sekar, R. Chandra Guru; Murugesan, K. Numerical solutions of non-linear system of higher order Volterra integro-differential equations using generalized STWS technique. (English) Zbl 1483.65231 Differ. Equ. Dyn. Syst. 29, No. 3, 609-621 (2021). MSC: 65R20 45J05 45D05 45G15 47G20 PDFBibTeX XMLCite \textit{R. C. G. Sekar} and \textit{K. Murugesan}, Differ. Equ. Dyn. Syst. 29, No. 3, 609--621 (2021; Zbl 1483.65231) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral solutions of system of Volterra integro-differential equations and their error analysis. (English) Zbl 1404.65334 Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 146, 14 p. (2018). MSC: 65R20 45D05 45G15 45J05 PDFBibTeX XMLCite \textit{S. Thirumalai} and \textit{R. Seshadri}, Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 146, 14 p. (2018; Zbl 1404.65334) Full Text: DOI
Sekar, R. Chandra Guru; Balakumar, V.; Murugesan, K. Method of solving linear system of Volterra integro-differential equations using the single term Walsh series. (English) Zbl 1397.65011 Int. J. Appl. Comput. Math. 3, No. 2, 549-559 (2017). MSC: 65C05 34K28 47G20 45J05 65R20 PDFBibTeX XMLCite \textit{R. C. G. Sekar} et al., Int. J. Appl. Comput. Math. 3, No. 2, 549--559 (2017; Zbl 1397.65011) Full Text: DOI
Sahu, P. K.; Saha Ray, S. Legendre spectral collocation method for the solution of the model describing biological species living together. (English) Zbl 1328.45011 J. Comput. Appl. Math. 296, 47-55 (2016). MSC: 45G10 65R20 PDFBibTeX XMLCite \textit{P. K. Sahu} and \textit{S. Saha Ray}, J. Comput. Appl. Math. 296, 47--55 (2016; Zbl 1328.45011) Full Text: DOI
Mirzaee, Farshid; Bimesl, Saeed Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials. (English) Zbl 1443.65109 Appl. Math. Modelling 39, No. 22, 6767-6779 (2015). MSC: 65L60 45J05 PDFBibTeX XMLCite \textit{F. Mirzaee} and \textit{S. Bimesl}, Appl. Math. Modelling 39, No. 22, 6767--6779 (2015; Zbl 1443.65109) Full Text: DOI
Yüzbaşı, Şuayip Numerical solutions of system of linear Fredholm-Volterra integro-differential equations by the Bessel collocation method and error estimation. (English) Zbl 1328.65278 Appl. Math. Comput. 250, 320-338 (2015). MSC: 65R20 45B05 45D05 65L60 45J05 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı}, Appl. Math. Comput. 250, 320--338 (2015; Zbl 1328.65278) Full Text: DOI
Mohamed, M. A.; Torky, M. Sh. A comparative study of numerical methods for solving the generalized Ito system. (English) Zbl 1295.65008 J. Egypt. Math. Soc. 22, No. 1, 102-114 (2014). MSC: 65C30 60H10 60H35 34F05 PDFBibTeX XMLCite \textit{M. A. Mohamed} and \textit{M. Sh. Torky}, J. Egypt. Math. Soc. 22, No. 1, 102--114 (2014; Zbl 1295.65008) Full Text: DOI
Duan, Jun-Sheng Convenient analytic recurrence algorithms for the Adomian polynomials. (English) Zbl 1214.65064 Appl. Math. Comput. 217, No. 13, 6337-6348 (2011). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65Q30 65Q10 65D20 PDFBibTeX XMLCite \textit{J.-S. Duan}, Appl. Math. Comput. 217, No. 13, 6337--6348 (2011; Zbl 1214.65064) Full Text: DOI
Duan, Jun-Sheng An efficient algorithm for the multivariable Adomian polynomials. (English) Zbl 1204.65022 Appl. Math. Comput. 217, No. 6, 2456-2467 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 65D20 34A25 34A34 65L05 12Y05 PDFBibTeX XMLCite \textit{J.-S. Duan}, Appl. Math. Comput. 217, No. 6, 2456--2467 (2010; Zbl 1204.65022) Full Text: DOI
Biazar, J.; Porshokuhi, M. Gholami; Ghanbari, B. Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method. (English) Zbl 1189.65245 Comput. Math. Appl. 59, No. 2, 622-628 (2010). MSC: 65M99 PDFBibTeX XMLCite \textit{J. Biazar} et al., Comput. Math. Appl. 59, No. 2, 622--628 (2010; Zbl 1189.65245) Full Text: DOI
Dehghan, Mehdi; Shakourifar, Mohammad; Hamidi, Asgar The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Padé technique. (English) Zbl 1197.65223 Chaos Solitons Fractals 39, No. 5, 2509-2521 (2009). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Chaos Solitons Fractals 39, No. 5, 2509--2521 (2009; Zbl 1197.65223) Full Text: DOI
Daftardar-Gejji, Varsha; Bhalekar, Sachin Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method. (English) Zbl 1147.65106 Appl. Math. Comput. 202, No. 1, 113-120 (2008); corrigendum ibid. 219, No. 16, 8413-8415 (2013). MSC: 65R20 65M70 45K05 26A33 35L70 PDFBibTeX XMLCite \textit{V. Daftardar-Gejji} and \textit{S. Bhalekar}, Appl. Math. Comput. 202, No. 1, 113--120 (2008; Zbl 1147.65106) Full Text: DOI
Yusufoğlu, Elcin An efficient algorithm for solving integro-differential equations system. (English) Zbl 1193.65234 Appl. Math. Comput. 192, No. 1, 51-55 (2007). MSC: 65R99 45J05 PDFBibTeX XMLCite \textit{E. Yusufoğlu}, Appl. Math. Comput. 192, No. 1, 51--55 (2007; Zbl 1193.65234) Full Text: DOI
Ruan, Jing; Lu, Zhengyi A modified algorithm for the Adomian decomposition method with applications to Lotka-Volterra systems. (English) Zbl 1133.65046 Math. Comput. Modelling 46, No. 9-10, 1214-1224 (2007). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{J. Ruan} and \textit{Z. Lu}, Math. Comput. Modelling 46, No. 9--10, 1214--1224 (2007; Zbl 1133.65046) Full Text: DOI
Momani, S.; Qaralleh, R. An efficient method for solving systems of fractional integro-differential equations. (English) Zbl 1137.65072 Comput. Math. Appl. 52, No. 3-4, 459-470 (2006). MSC: 65R20 26A33 45J05 45G15 PDFBibTeX XMLCite \textit{S. Momani} and \textit{R. Qaralleh}, Comput. Math. Appl. 52, No. 3--4, 459--470 (2006; Zbl 1137.65072) Full Text: DOI