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Homotopy perturbation Sumudu transform method for nonlinear equations. (English) Zbl 1247.76062
Summary: We propose a combined form of the sumudu transform method with the homotopy perturbation method to solve nonlinear equations. This method is called the homotopy perturbation sumudu transform method (HPSTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method. The results reveal that the proposed method is very efficient, simple and can be applied to other nonlinear problems.
MSC:
76M25Other numerical methods (fluid mechanics)