Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method
نویسندگان
1 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran
3 Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran
doi
10.22034/cmde.2023.52806.2227چکیده
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.
