Solving PDEs arising in the formation of liquid drop pattern using Sumudu transform based technique

Abstract

In this research work, we look into the solitary wave solutions of 2D and 3D nonlinear Rosenau Hyman type equations with time- fractional derivatives, arising during the formation of liquid drop pattern. We implement relatively new scheme, which is the combination of an integral transform such as Sumudu transform and the Homotopy perturbation method. Some theorems have been stated here to describe the convergence of the proposed technique. To demonstrate the ease of use and precision of the proposed methodology, four test examples with various parameter settings have been addressed.

Keywords

• Sumudu transform
• Homotopy perturbation method
• Nonlinear Rosenau Hyman equations
• Numerical experiments