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- W2327762322 abstract "This paper introduces a discrete version of Homotopy Perturbation Method (DHPM) that efficiently solves linear or non-linear problems. Burgers’ and heat equations are firstly discretized in Crank-Nicolson finite difference scheme. This scheme leads to a system of linear or non-linear difference equations to be solved at each time-step. Then, DHPM is used to solve this system. To assess the simplicity and accuracy of DHPM, this study considers several examples. Numerical comparisons between the DHPM and the available exact solution reveal that the new technique is a promising tool for solving linear and non-linear Partial Differential Equations (PDEs)" @default.
- W2327762322 created "2016-06-24" @default.
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- W2327762322 date "2014-03-20" @default.
- W2327762322 modified "2023-09-22" @default.
- W2327762322 title "The Discrete Homotopy Perturbation Method for Solving Burgers' and Heat Equations" @default.
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- W2327762322 doi "https://doi.org/10.12733/jics20103159" @default.
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