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Home  >  Transactions of NAMP VOL.11

15. NUMERICAL SOLUTIONS OF COUPLED VISCOUS BURGERS’ EQUATION BY CUBIC SPLINE COLLOCATION METHOD by Peter Anthony Volume 11, (January - June, 2020 Issue)
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NUMERICAL SOLUTIONS OF COUPLED VISCOUS BURGERS’ EQUATION BY CUBIC SPLINE COLLOCATION METHOD

Peter Anthony

Department of Mathematical Sciences, Kaduna State University, Nigeria.

Abstract

In this paper we numerically solved the coupled viscous Burgers’ equation with appropriate initial and boundary conditions. We use the Cubic B-Spline collocation method on the space integration and applied the Crank-Nicolson method for the temporal variable. This method proved to be unconditionally stable when we applied the Von Neumann stability algorithm. We provided some numerical examples to validate the scheme; our solutions were also compared with existing ones and it proved to possess faster convergence to the exact solutions.

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