Study on approximate analytical methods for nonlinear differential equations

Abstract

In this work, an analytical approximation solution is presented, as well as a comparison of the Variational Iteration Adomian Decomposition Method (VIADM) and the Modified Sumudu Transform Adomian Decomposition Method (M STADM), both of which are capable of solving nonlinear partial differential equations (NPDEs) such as nonhomogeneous Kertewege-de Vries (kdv) problems and the nonlinear Klein-Gordon. The results demonstrate the solution’s dependability and excellent accuracy.

Subject Classification:

• 32W50
• 35R01

Keywords:

• Sumudu decomposition method
• Lagrange multiplier
• Klein-Gordon equation
• Nonlinear partial differential equations
• Sumudu transform