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Aghaei Amirkhizi, Simin, Mahmoudi, Yaghoub, Salimi shamloo, Ali. (1403). Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method. سامانه مدیریت نشریات علمی, 12(1), 189-195. doi: 10.22034/cmde.2023.52806.2227
Simin Aghaei Amirkhizi; Yaghoub Mahmoudi; Ali Salimi shamloo. "Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method". سامانه مدیریت نشریات علمی, 12, 1, 1403, 189-195. doi: 10.22034/cmde.2023.52806.2227
Aghaei Amirkhizi, Simin, Mahmoudi, Yaghoub, Salimi shamloo, Ali. (1403). 'Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method', سامانه مدیریت نشریات علمی, 12(1), pp. 189-195. doi: 10.22034/cmde.2023.52806.2227
Aghaei Amirkhizi, Simin, Mahmoudi, Yaghoub, Salimi shamloo, Ali. Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method. سامانه مدیریت نشریات علمی, 1403; 12(1): 189-195. doi: 10.22034/cmde.2023.52806.2227

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

Computational Methods for Differential Equations
مقاله 15، دوره 12، شماره 1، فروردین 2024، صفحه 189-195    اصل مقاله (282.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.52806.2227
نویسندگان
Simin Aghaei Amirkhizi1؛ Yaghoub Mahmoudi* 2؛ Ali Salimi shamloo3
1Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran
3Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran
چکیده
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.
کلیدواژه‌ها
Volterra integral equation؛ Piecewise continuous kernel؛ Modified Adomian decomposition method
مراجع
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