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

Abstract

Quartic B-spline and two-step hybrid method applied to boundary value problem AIP Conf. Proc. 1522, 744 (2013); 10.1063/1.4801200Modified predictor-corrector multistep method using arithmetic mean for solving ordinary differential equations AIP Conf.A three-stage explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations AIP Conf.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. C 2014 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx.

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