Title of article :
Numerical solution of the coupled viscous Burgers’ equation
Author/Authors :
Mittal، نويسنده , , R.C. and Arora، نويسنده , , Geeta، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
10
From page :
1304
To page :
1313
Abstract :
In the present paper, a numerical method is proposed for the numerical solution of a coupled system of viscous Burgers’ equation with appropriate initial and boundary conditions, by using the cubic B-spline collocation scheme on the uniform mesh points. The scheme is based on Crank–Nicolson formulation for time integration and cubic B-spline functions for space integration. The method is shown to be unconditionally stable using von-Neumann method. The accuracy of the proposed method is demonstrated by applying it on three test problems. Computed results are depicted graphically and are compared with those already available in the literature. The obtained numerical solutions indicate that the method is reliable and yields results compatible with the exact solutions.
Keywords :
Coupled viscous Burgers’ equation , collocation , Cubic B-spline , Bi-tridiagonal , Thomas algorithm
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Serial Year :
2011
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Record number :
1535819
Link To Document :
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