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Fourth-order finite difference method for solving Burgers’ equation |
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| Authors: | I.A. Hassanien A.A. Salama H.A. Hosham |
| Affiliation: | aDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt bDepartment of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt |
| Abstract: | In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers’ equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this equation. |
| Keywords: | Burgers’ equation Finite difference method Stability Convergence |
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