Elzaki Transform Homotopy Perturbation Method for Solving Fourth Order Parabolic PDE with Variable Coefficients

摘要

In this paper, we apply a new method called ELzaki transform ho motopy perturbation method (ETHPM) to solve one dimensional fourth order parabolic linear partial differential equations with variable coefficients. This method is a combination of the new integral transform "ELzaki transform" and the homotopy perturbation method. Some cases of one dimensional fourth order parabolic linear partial differential equations are solved to illustrate ability and reliability of mixture of ELzaki transform and homotopy perturbation method. We have compared the obtained analytical solutio n with the available Laplace decomposition solution and ho motopy perturbation method solution which is found to be exactly same. The results reveal that the combination of ELzaki transform and homotopy perturbation method is quite capable, practically well appropriate for use in such problems