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

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

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.

Suggested Citation

  • Hai-tao Che & Xin-tian Pan & Lu-ming Zhang & Yi-ju Wang, 2012. "Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, March.
    • Handle: RePEc:hin:jnljam:308410
    DOI: 10.1155/2012/308410
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