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

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.

Keywords:

Volterra integral equation , Piecewise continuous kernel , Modified 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

Certificate
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https://civilica.com/doc/1830773

شناسه ملی سند علمی:

JR_CMDE-12-1_015

تاریخ نمایه سازی: 4 آذر 1402

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Aghaei Amirkhizi, Simin and Mahmoudi, Yaghoub and Salimi shamloo, Ali,1403,Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method,https://civilica.com/doc/1830773

Scientometrics

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Ranking of Islamic Azad University of Tabriz

Type of center: Azad University

Paper count: 16,201

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