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Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method

Publish place: Computational Methods for Differential Equations، Vol: 12، Issue: 1
Publish Year: 1403
Type: Journal paper
Language: English
View: 204

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Link to this Paper:
https://civilica.com/doc/1830773

Document National Code:

JR_CMDE-12-1_015

Index date: 25 November 2023

Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method abstract

In this paper, for solving linear and nonlinear Volterra integral equations of the first kind with discontinuous kernels, the Adomian decomposition method, and the modified Adomian decomposition method are presented. We convert  the  main equation into the  Volterra integral equation of the second kind. The numerical examples are given to denote the accuracy of the suggested method.

Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method Keywords:

Volterra integral equation , Piecewise continuous kernel , Modified Adomian decomposition method

Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method authors

Simin Aghaei Amirkhizi

Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

Yaghoub Mahmoudi

Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran

Ali Salimi shamloo

Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran