Spectral collocation method and Darvishi’s preconditionings to solve the generalized Burgers–Huxley equation |
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| Authors: | MT Darvishi S Kheybari F Khani |
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| Institution: | aDepartment of Mathematics, Razi University, Kermanshah 67149, Iran;bDepartment of Mathematics, Ilam University, P.O. Box 69315516, Ilam, Iran |
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| Abstract: | In this paper, a numerical solution of the generalized Burgers–Huxley equation is presented. This is the application of spectral collocation method. To reduce roundoff error in this method we use Darvishi’s preconditionings. The numerical results obtained by this method have been compared with the exact solution. It can be seen that they are in a good agreement with each other, because errors are very small and figures of exact and numerical solutions are very similar. |
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| Keywords: | The generalized Burgers– Huxley equation Spectral collocation method Matrix– vector multiplication method Error propagation Darvishi’ s preconditionings |
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