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An Implicit Scheme for the Numerical Solution of the Generalized Burgers-Huxley Equation |
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PP: 37-41 |
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doi:10.18576/sjm/090203
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Author(s) |
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Gonca C ̧ ELI ̇KTEN,
Adem CANKURT,
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Abstract |
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| In this study, numerical solutions to the generalized Burgers-Huxley problem are obtained utilizing a new approach in this study: The Implicit logarithmic finite difference method (I-LFDM). The effectiveness of the suggested method is demonstrated by a numerical example for various parameter cases, demonstrating that the obtained results are in excellent agreement with the exact solutions and better than numerical results obtained by other methods in the literature. The method was analyzed with the von-Neumann stability analysis method and it was shown that the method was unconditionally stable.
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