Solution of a system of Volterra integral equations of the first kind by Adomian method

Authors:
J. Biazar;E. Babolian;R. Islam
Affiliations:
Guilan University, Rasht, Iran;University for Teacher Education, Tehran, Iran;Faculty of Engineering, Dalhousie University, D510, 1360 Barrington Street, P.O. Box 1000, Halifax, Nova Scotia, Canada B3J 2X4
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this article, we consider linear and non-linear systems of integral equations of the first kind. The problem of existence and uniqueness are considered. The Adomian decomposition method is being used to solve these linear and non-linear systems of Volterra integral equations of the first kind. Some examples are prepared to show the efficiency and simplicity of the method.