A COMPACT DIFFERENCE SCHEME AND RICHARDSON EXTRAPOLATION ALGORITHM FOR SOLVING A CLASS OF THE NONLINEAR DELAY HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
Zhang Qifeng1, Zhang Chengjian1, Deng Dingwen2
1. Huazhong University of Science and Technology, School of Mathematics and Statistics, Wuhan 430074, China;
2. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
In this paper, a class of compact difference schemes are constructed to solve the nonlinear delay hyperbolic partial differential equations. The unique solvability, convergence and unconditional stability of the scheme are obtained. The convergence order is O(τ2+h4). Furthermore, the Richardson extrapolation is applied to improve the temporal accuracy of the scheme, and a solution of order four in both temporal and spatial dimensions is obtained. Numerical example shows the accuracy and efficiency of the algorithms.
. A COMPACT DIFFERENCE SCHEME AND RICHARDSON EXTRAPOLATION ALGORITHM FOR SOLVING A CLASS OF THE NONLINEAR DELAY HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Numerical Methods and Computer Applicat, 2013, 34(3): 167-176.
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