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Numerical Solutions of the Modified Burgers Equation by Explicit Logarithmic Finite Difference Schemes |
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PP: 73-79 |
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doi:10.18576/sjm/080301
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Author(s) |
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Gonca C ̧ ELI ̇KTEN,
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Abstract |
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| In this paper, explicit logarithmic finite difference schemes (E-LFDSs) obtained by using various finite difference approaches instead of the non-linear term of the modified Burgers equation are given for numerical solutions of the modified Burgers equation. A test problem is used to verify the effectiveness and accuracy of the schemes that we have suggested. Comparisons are made with other studies in the literature. All results are consistent with the results obtained in other studies in the literature. L2 and L∞ error norms are calculated. The obtained error norms are quite small. The results show that the present numerical approaches are highly successful to solve the modified Burgers equation.
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