Details

Autor(en) / Beteiligte

• Shukla, H. S.
• Tamsir, Mohammad
• Srivastava, Vineet K.
• Kumar, Jai

Titel

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

Ist Teil von

• AIP advances, 2014-11, Vol.4 (11), p.117134-117134-10

Ort / Verlag

Melville: American Institute of Physics

Erscheinungsjahr

2014

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• 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.