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A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel
Published online by Cambridge University Press: 28 May 2015
Abstract
This paper is concerned with a compact difference scheme with the truncation error of order 3/2 for time and order 4 for space to an evolution equation with a weakly singular kernel. The integral term is treated by means of the second order convolution quadrature suggested by Lubich. The stability and convergence are proved by the energy method. A numerical experiment is reported to verify the theoretical predictions.
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- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 5 , Issue 4 , November 2012 , pp. 559 - 572
- Copyright
- Copyright © Global Science Press Limited 2012