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Article
On a New Time Integration Method for Solving Time Dependent Partial Differential Equations
Computer Methods in Applied Mechanics and Engineering
  • Wanxie Zhong, Mississippi State University
  • Jianping Zhu, Cleveland State University
  • Xiangxiang Zhong, State University of New York
Document Type
Article
Publication Date
3-1-1996
Abstract
A numerical time integration algorithm that combines the high accuracy of the precise time integration method and the computational efficiency of the finite difference schemes in this paper. The algorithm is explicit and unconditionally stable. It can also be modified easily to achieve different levels of accuracy by using more integration points. Numerical examples of both linear and non-linear PDE problems are discussed in the paper.
DOI
10.1016/0045-7825(95)00876-4
Citation Information
Zhong, W., Zhu, J., and Zhong, X. (1996). On a New Time Integration Method for Solving Time Dependent Partial Differential Equations. Computer Methods in Applied Mechanics and Engineering, 130(1-2), 163-178, doi: 10.1016/0045-7825(95)00876-4.