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- Title
A Numerical study of two dimensional non-linear coupled Burgers equation by cubic Hyperbolic B-spline Differential quadrature method.
- Authors
Kapoor, Manita; Joshi, Varun
- Abstract
Present paper deals with the numerical solution of coupled 2D non-linear Burgers equation by implementing the notion of modified cubic Hyperbolic B-spline based Differential quadrature method. Feasibility and accuracy of proposed scheme is checked by using L2 and L∞ error norms. Comparison of errors is shown for the mentioned examples. Reduced set of ordinary differential equations is tackled by using SSP-RK43 scheme. Stability of the proposed scheme is checked by using the Matrix stability analysis method. It is noticed that proposed numerical scheme produced the results with accuracy and it is quite easy to implement.
- Subjects
DIFFERENTIAL quadrature method; ORDINARY differential equations; BURGERS' equation; CUBIC equations; HAMBURGERS; NONLINEAR equations
- Publication
Nonlinear Studies, 2022, Vol 29, Issue 1, p173
- ISSN
1359-8678
- Publication type
Article