Abstract

This paper discusses and implements a newly developed technique using the He method with Kharrat-Toma Transform. The main aim is to solve some initial and boundary problems. This combination exhibits an accurate strategy to obtain a precise solution for linear and nonlinear problems. To validate the proposed Hybrid method, a 4- examples are discussed, these including: Burger’s equation a differential equation used in fluid mechanics to represented the flow of a fluid, telegraph equation that used in electric waves, Kelin-Gordan equation used in quantum mechanics, modified Boussinesq equation. The obtained results improve the exactness and the accuracy of the proposed combinations, and the proposed method is capable to solve a large number of linear and nonlinear initial and boundary value problems.

Keywords

Kharrat-Toma Transform, Burger’s equation, telegraph equation, Kelin- Gordan equation, modified Boussinesq equation, He’s Polynomial