A Compact-Type CIP Method for General Korteweg-de Vries Equation-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Shi YuFeng¹,XU Biao²,Guo Yan³

Affiliation:

1. School of Electric Power Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

2. School of Mathematical Sciences, Huaibei Normal University, Huaibei, Anhui 235000, China

3. Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Abstract

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

Funder

Fundamental Research Funds for the Central Universities

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/640194.pdf

Reference29 articles.

1. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

2. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

3. A Local Discontinuous Galerkin Method for KdV Type Equations

4. A comparison between two different methods for solving KdV–Burgers equation

5. Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation

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