In this paper, we apply the Laplace decomposition method to obtain a series solutions of the Burgers-Huxley and Burgers-Fisher equations. The technique is based on the application of Laplace transform to nonlinear partial differential equations. The method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the Adomian polynomials. We compare the numerical results of the proposed method with those of some available methods.
Yaghouti, M. R., & Zabihi, A. (2013). Application of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations. Journal of Mathematical Modeling, 1(Issue 1), 41-67.
MLA
Mohammad Reza Yaghouti; Ali Zabihi. "Application of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations". Journal of Mathematical Modeling, 1, Issue 1, 2013, 41-67.
HARVARD
Yaghouti, M. R., Zabihi, A. (2013). 'Application of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations', Journal of Mathematical Modeling, 1(Issue 1), pp. 41-67.
VANCOUVER
Yaghouti, M. R., Zabihi, A. Application of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations. Journal of Mathematical Modeling, 2013; 1(Issue 1): 41-67.
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