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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
Analytical-approximate solution for nonlinear Volterra integro-differential equations
Type
JournalPaper
Keywords
Nonlinear Volterra integro-differential equations, Laplace transform method, modified Adomian decomposition method.
Year
2015
Journal Journal of Linear and Topological Algebra
DOI
Researchers Mashallah Matinfar ، Abbas Riahifar

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.