Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method

Homotopy Perturbation Method for Solving Linear Fuzzy Delay Differential Equations Using Double Parametric Approach

“…Many researchers in the field of Science and Engineering have used Homotopy Perturbation Method (HPM) to achieve an approximate solution for different kinds of linear and nonlinear models [10][11][12][13], even the fuzzy partial differential equation models as in Sarmad et al [14]. Solving problems with HPM often help to better understand a physical problem, and may help improve future procedures and designs used to solve these problems.…”

Solving nonlinear boundary value problems by the Galerkin method with sinc functions

“…Many methods havebeen developed for solving these equations numerically since most of them either have no analytical solution or are quite di cult to solve. Some numerical methods in the literature include the following: the variational iteration method [1][2][3], the homotopy analysis method [4][5][6][7], the Adomian decomposition method [8][9][10], the homotopy perturbation method [11,12], the Haar wavelet method [13,14], the Chebyshev wavelets method [15] and the Legendre wavelets method [16,17].…”

An analytical technique for solving general linear integral equations of the second kind and its application in analysis of flash lamp control circuit

“…One of these methods is the homotopy perturbation method [1][2][3]. This method can be used, among others, for solving differential equations [4][5][6][7][8][9][10][11][12]. Ganji and his colleagues [13][14][15][16][17] applied this method for considering various problems connected with the heat transfer processes.…”