Title of article :
Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method
Author/Authors :
Aghaei Amirkhizi ، Simin Department of Mathematics - Islamic Azad University, Tabriz Branch , Mahmoudi ، Yaghoub Department of Mathematics - Islamic Azad University, Shabestar Branch , Salimi shamloo ، Ali Department of Mathematics - Islamic Azad University, Shabestar Branch
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.
Keywords :
Volterra integral equation , Piecewise continuous kernel , Modified Adomian decomposition method
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
