A Compact-Type CIP Method for General Korteweg-de Vries Equation

作者：Shi, YuFeng; Xu, Biao^*; Guo, Yan

来源：Abstract and Applied Analysis, 2014, 2014: 640194.

DOI：10.1155/2014/640194

• CUBIC-POLYNOMIAL INTERPOLATION
• SOLITARY WAVE SOLUTIONS
• RADIAL BASIS FUNCTIONS
• KDV-BURGERS EQUATION
• HYPERBOLIC-EQUATIONS
• UNIVERSAL SOLVER
• GALERKIN METHOD
• SCHEMES

We proposed a hybrid compact-CIP scheme to solve the Korteweg-deVries equation. The algorithmis based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-deVries equation. Several numerical examples are presented to confirm the high resolution of the proposed scheme.

• 出版日期2014
• 单位中国矿业大学（北京）; 淮北师范大学