Open Access Mini Review

Nonlinear Partial Differential Equations Analysis in all Engineering Fields (Chemical, Mechanical, Civil, Electrical and other fields) and Basic Sciences by new Approach ASM

Mohammadreza Akbari1*, Sara Akbari2*, Esmaeil Kalantari3

1Department of chemical engineering and civil engineering, University of Tehran, Tehran, Iran

2Department of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran

3Department of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran

Corresponding Author

Received Date: February 25, 2021;  Published Date: March 24, 2021

Abstract

In this article, we want to solve an analytical nonlinear partial differential equation that it is very applicable in all fields of engineering and basic sciences. This kind of nonlinear partial equations is used extensively in most engineering fields including chemical, mechanical, civil, electrical, and other engineering. As all experts know most of engineering actual systems behavior in practical are nonlinear process and analytical scrutiny these nonlinear problems (especially nonlinear analytical solution of partial equations) are very difficult or sometimes impossible. Our purpose is to enhance the ability of solving the mentioned nonlinear partial differential equations at engineering fields with a simple and innovative approach which entitled ‘’Akbari-Sara’s Method’’ or ‘’ASM’’.

Keywords: Akbari Sara’s Method (ASM); Nonlinear partial differential equation; Analytical solution; Eigenvalues; Shape function

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