Rabbani, M.; Maleknejad, K.; Aghazadeh, N. Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method. (English) Zbl 1114.65371 Appl. Math. Comput. 187, No. 2, 1143-1146 (2007). Summary: An expansion method is used for treatment of second kind Volterra integral equations system. This method gives an analytic solution for the system. The method reduces the system of integral equations to a linear system of ordinary differential equations. After constructing boundary conditions, this system reduces to a system of equations that can be solved easily with any of the usual methods. Finally, for showing the efficiency of the method we use some numerical examples. Cited in 35 Documents MSC: 65R20 Numerical methods for integral equations 45F05 Systems of nonsingular linear integral equations Keywords:Taylor-series expansion; system of Volterra integral equation; numerical examples PDFBibTeX XMLCite \textit{M. Rabbani} et al., Appl. Math. Comput. 187, No. 2, 1143--1146 (2007; Zbl 1114.65371) Full Text: DOI References: [1] Delves, L. M.; Mohamed, J. L., Computational Methods for Integral Equations (1985), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0592.65093 [2] Ren, Y.; Zhang, Bo; Qiao, Hong, A simple Taylor-series expansion method for a class of second kind integral equations, J. Comp. Appl. Math, 110, 15-24 (1999) · Zbl 0936.65146 [3] Maleknejad, K.; Aghazadeh, N., Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method, Appl. Math. Comput., 161, 915-922 (2005) · Zbl 1061.65145 [4] Maleknejad, K.; Aghazadeh, N.; Rabbani, M., Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method, Appl. Math. Comput., 175, 1229-1234 (2006) · Zbl 1093.65124 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.