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.
On a New Time Integration Method for Solving Time Dependent Partial Differential EquationsComputer Methods in Applied Mechanics and Engineering
Citation InformationZhong, 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.