February 8, 2023
Mashallah Matinfar

Mashallah Matinfar

Degree: Associate professor
Address:
Education: Ph.D in Applied Mathematics
Phone: 35302496
Faculty: Faculty of Mathematical Sciences

Research

Title Analytical-approximate solution for nonlinear Volterra integro-differential equations
Type Article
Keywords
Nonlinear Volterra integro-differential equations, Laplace transform method, modified Adomian decomposition method.
Journal Journal of Linear and Topological Algebra
DOI
Researchers Mashallah Matinfar (First researcher) , Abbas Riahifar (Second researcher)

Abstract

In this work, we conduct a comparative study among the combine Laplace trans- form and modified Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro- differential equations of the second kind. The nonlinear part of integro-differential is approx- imated by Adomian polynomials, and the equation is reduced to a simple equations. The proper implementation of combine Laplace transform and modified Adomian decomposition method can extremely minimize the size of work if compared to existing traditional tech- niques. Moreover, three particular examples are discussed to show the reliability and the performance of method.