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Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
Seakweng Vong, Zhibo Wang
Journal:

Advances in Applied Mathematics and Mechanics / Volume 6 / Issue 4 / August 2014

Published online by Cambridge University Press:

03 June 2015, pp. 419-435

Print publication:

August 2014
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In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.

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Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System