Numerical solution of Korteweg-de Vries-Burgers equation by the compact-type CIP method

作者：Shi, YuFeng; Xu, Biao^*; Guo, Yan

来源：Advances in Difference Equations, 2015, 2015(1): 353.

DOI：10.1186/s13662-015-0682-5

• high-order compact schemes
• CIP schemes
• Korteweg-de Vries-Burgers equation

In this paper, a hybrid compact-CIP scheme is proposed to solve Korteweg-de Vries-Burgers equation. The nonlinear advective terms are computed based on the classical constrained interpolation profile (CIP) method, which is coupled with a high-order compact scheme for third-order derivatives in Korteweg-de Vries-Burgers equation. The strong stability preserving third-order Runge-Kutta time discretizations is adopted in this work. A test case is presented to demonstrate the high-resolution properties of the proposed compact-CIP scheme.

• 出版日期2015-11-18
• 单位中国矿业大学（北京）; 淮北师范大学