r–modified Crank-Nicholson difference schemes for one dimensional nonlinear viscous Burgers’ equation for an incompressible flow

2016

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DOI 10.1063/1.4959714
Data confidence 70 medium
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Abstract

The nonlocal boundary value problem for viscous Burgers’ equation is considered. Solutions to the 1-D equation are presented numerically by Rothe, Crank-Nicholson and r–modified Crank-Nicholson difference schemes. Matlab codes for all the three schemes are designed based on the idea of fixed-point iteration procedure and modified Gauss elimination method. The numerical results are compared.