A compact finite difference method for solving Burgers' equation
Copyright policy )A compact finite difference method for solving Burgers' equation
AbstractIn this paper, a high‐order accurate compact finite difference method using the Hopf–Cole transformation is introduced for solving one‐dimensional Burgers' equation numerically. The stability and convergence analyses for the proposed method are given, and this method is shown to be unconditionally stable. To demonstrate efficiency, numerical results obtained by the proposed scheme are compared with the exact solutions and the results obtained by some other methods. The proposed method is second‐ and fourth‐order accurate in time and space, respectively. Copyright © 2009 John Wiley & Sons, Ltd.
- Changwon National University Korea (Republic of)
- Ocean University of China China (People's Republic of)
Hopf-Cole transformation, convergence, KdV equations (Korteweg-de Vries equations), Burgers' equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, stability, numerical results, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, compact difference scheme
Hopf-Cole transformation, convergence, KdV equations (Korteweg-de Vries equations), Burgers' equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, stability, numerical results, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, compact difference scheme
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