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’’ and ‘’Integral Akbari-Method’’ or ‘’IAM’’.

Keywords: Akbari-Sara’s Method (ASM); Integral Akbari Method (IAM); Nonlinear partial differential equation, Analytical solution, Eigenvalues