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The homotopy analysis Rangaig transform method for nonlinear partial differential equations

Ziane Djelloul, Cherif Mountassir Hamdi

Journal of Applied Mathematics and Computational Mechanics

2022

Vol. 21, nr 2

111--122

The idea suggested in this article is to combine the Rangaig transform with the homotopy analysis method in order to facilitate the solution of nonlinear partial differentia equations. This method may be called the homotopy analysis Rangaig transform method (HARTM). The proposed example results showed that HARTM is an effective method for solving nonlinear partial differential equations.