Crimson Publishers Publish With Us Reprints e-Books Video articles


Research & Development in Material Science

Innovation in the Engineering Field and Basic Sciences in the Analytical Solution of Nonlinear Partial Differential Equations by New Methods ASM and IAM

  • Akbari MR1*, Sara Akbari2 and Esmaeil Kalantari3

    1Department of Civil Engineering and Chemical Engineering, University of Germany, Germany

    1Department of Pharmaceutical Technical Assistant, Dr. Kurt Blindow Vocational School, Germany

    1Department of Chemical Engineering, Islamic Azad University, Iran

Submission: September 21, 2022;Published: October 20, 2022

DOI: 10.31031/RDMS.2022.17.000927

ISSN : 2576-8840
Volume18 Issue1


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

Get access to the full text of this article