2020Iraqi Journal of ScienceOpen access

Approximate Solutions for Systems of Volterra Integro-differential Equations Using Laplace –Adomian Method

Firas Salem Ahmed

Open full text 0 citations

Abstract

Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.

Open-access reader

About this research paper

What this paper is about

Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.

Key concepts: Adomian decomposition method, Laplace transform, Mathematics, Applied mathematics, Differential equation, Decomposition method (queueing theory), Volterra equations, Volterra integral equation

Related papers

Back to paper searchBrowse research topicsOriginal source
Approximate Solutions for Systems of Volterra Integro-differential Equations Using Laplace –Adomian Method — Research Paper | ScholarLens