Numerical Analysis of a Linear‐Implicit Average Scheme for Generalized Benjamin‐Bona‐Mahony‐Burgers Equation

Hai-tao Che, Xin-tian Pan, Lu-ming Zhang and Yi-ju Wang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/308410

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:308410

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