Numerical solution of two dimensional coupled viscous Burger equation using modified cubic B-spline differential quadrature method

In this paper, a numerical solution of two dimensional nonlinear coupled viscous Burger equation is discussed with appropriate initial and boundary conditions using the modified cubic B-spline differential quadrature method. In this method, the weighting coefficients are computed using the modified...

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Bibliographic Details
Published in:AIP advances 2014-11, Vol.4 (11), p.117134-117134-10
Main Authors: Shukla, H. S., Tamsir, Mohammad, Srivastava, Vineet K., Kumar, Jai
Format: Article
Language:English
Subjects:
Basis functions
Boundary conditions
Burgers equation
Computation
Differential equations
Ordinary differential equations
Runge-Kutta method
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Summary:In this paper, a numerical solution of two dimensional nonlinear coupled viscous Burger equation is discussed with appropriate initial and boundary conditions using the modified cubic B-spline differential quadrature method. In this method, the weighting coefficients are computed using the modified cubic B-spline as a basis function in the differential quadrature method. Thus, the coupled Burger equation is reduced into a system of ordinary differential equations. An optimal five stage and fourth-order strong stability preserving Runge–Kutta scheme is applied for solving the resulting system of ordinary differential equations. The accuracy of the scheme is illustrated by taking two numerical examples. Computed results are compared with the exact solutions and other results available in literature. Obtained numerical result shows that the described method is efficient and reliable scheme for solving two dimensional coupled viscous Burger equation.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4902507