Babolian, E.; Davari, A. Numerical implementation of Adomian decomposition method for linear Volterra integral equations of the second kind. (English) Zbl 1070.65134 Appl. Math. Comput. 165, No. 1, 223-227 (2005). Summary: We propose new ideas to implement the Adomian decomposition method to solve Volterra integral equations. Numerical examples are presented to illustrate the method for linear Volterra integral equations of the second kind. Cited in 11 Documents MSC: 65R20 Numerical methods for integral equations 45D05 Volterra integral equations Keywords:Adomian decomposition method; numerical examples; linear Volterra integral equations of the second kind PDFBibTeX XMLCite \textit{E. Babolian} and \textit{A. Davari}, Appl. Math. Comput. 165, No. 1, 223--227 (2005; Zbl 1070.65134) Full Text: DOI References: [1] Babolian, E.; Davari, A., Numerical implementation of Adomain decomposition method, Applied mathematics and computation, 153, 301-305 (2004) · Zbl 1048.65131 [2] Cherruault, Y.; Adomian, G.; Abbaoui, K.; Rach, R., Further remarks on convergence of decomposition method, International Journal of Biomedical Computing, 38, 89-93 (1995) [3] Delves, L. M.; Mohamed, J. L., Computational Methods for Integral Equations (1985), Cambridge University Press · Zbl 0592.65093 [4] Stoer, J.; Bulirsch, R., Introduction to Numerical Analysis (2002), Springer-Verlag · Zbl 1004.65001 [5] Wazwaz, A. M.; Khuri, S. A., Two methods for solving integral equations, Applied mathematics and computation, 77, 79-89 (1996) · Zbl 0846.65077 [6] Wazwaz, A. M., A First Course in Integral Equations (1997), WSPC: WSPC New Jersey [7] Wazwaz, A. M., A new algorithm for calculating Adomian polynomials for nonlinear operators, Applied mathematics and computation, III, 53-69 (2000) · Zbl 1023.65108 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.