Homotopy perturbation method for solving sixth-order boundary value problems
Computers & Mathematics with Applications
Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
Computers & Mathematics with Applications
Solutions of Nonlinear Chemistry Problems by Homotopy Analysis
Computational Mathematics and Modeling
International Journal of Computing Science and Mathematics
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In this paper, an analytic solution of Helmholtz equation is obtained by using a new modification of homotopy perturbation method NHPM. Theoretical considerations are discussed. Comparison of the results of applying NHPM with those of homotopy perturbation method HPM leads to significant consequences. The new HPM usually result in the exact solution, even for the problems which HPM leads to an approximate solution. Two examples are presented to demonstrate advantages of the NHPM in comparison with HPM.