Applied Mathematics & Information Sciences

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In this work, we use a combination between a new integral transform and the homotopy perturbation method. This combination presents an accurate methodology to obtain an exact and numerical solutions for linear and nonlinear partial differential equations. The aim of using this new integral transform is to overcome the deficiency. It is mainly caused by unsatisfied conditions in the other semi-analytical methods such as HPM, VIM, and ADM. More than, this new method appears more applicable, it needs fewer computations. As in the provided numerical example, this method can be used in engineering computations.

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