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Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
Authors:Seakweng Vong & Zhibo Wang
Abstract: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.
Keywords:Fourth-order fractional subdiffusion equation  compact difference scheme  energy method  stability  convergence  
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