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

الملخص EN

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.