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

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Che, Hai-tao; Pan, Xin-tian; Zhang, Lu-ming; Wang, Yi-ju;
  • Publisher: Hindawi Publishing Corporation
  • Journal: issn: 1110-757X, eissn: 1687-0042
  • Related identifiers: doi: 10.1155/2012/308410
  • Subject: Mathematics | Article Subject | QA1-939

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 f... View more
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