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Homotopy perturbation algorithm using Laplace transform for Newell-Whitehead-Segel equation. (English) Zbl 1359.65226

Summary: In this manuscript, we apply a combined form of the Laplace transform method with the homotopy perturbation method to obtain the solution of Newell-Whitehead Segel equation. This method is called the homotopy perturbation transform method (HPTM). The method can be applied to linear and nonlinear problems. Some examples have been carried out in order to illustrate the efficiency and reliability of the method.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35K91 Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian
44A10 Laplace transform
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