Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation (Q410920)
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scientific article; zbMATH DE number 6021664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation |
scientific article; zbMATH DE number 6021664 |
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Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation (English)
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4 April 2012
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Summary: A linear-implicit finite difference scheme is given for the initial-boundary problem of GBBM-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions is shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate.
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