Two Different Methods for Numerical Solution of the Modified Burgers’ Equation

الملخص EN

A numerical solution of the modified Burgers’ equation (MBE) is obtained byusing quartic B-spline subdomain finite element method (SFEM) over which the nonlinear term is locally linearized and using quartic B-spline differential quadrature (QBDQM) method.

The accuracy and efficiency of the methods are discussed bycomputing L2 and L∞ error norms.

Comparisons are made with those of some earlier papers.

The obtained numerical results show that the methods are effective numerical schemes to solve the MBE.

A linear stability analysis, based on the von Neumann scheme, shows the SFEM is unconditionally stable.

A rate of convergence analysisis also given for the DQM.