|
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.
|
|
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.
|
|
Researchers
|
Abbas Riahifar (Second Researcher), Mashallah Matinfar (First Researcher)
|