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On a Second Order Scheme for Space Fractional Diffusion Equations with Variable Coefficients by Vong, Seakweng; Lyu, Pin is a scholarly article available to read on EtoBox.
What is On a Second Order Scheme for Space Fractional Diffusion Equations with Variable Coefficients about?
We study a second order scheme for spatial fractional differential equations with variable coefficients. Previous results mainly concentrate on equations with diffusion coefficients that are proportional to each other. In this paper, by further study on the generating function of the discretization matrix, second order convergence of the scheme is proved for diffusion coefficients satisfying a certain condition but are not necessary to be proportional. The theoretical results are justified by numerical tests.
- Author
- Vong, Seakweng; Lyu, Pin
- Published
- 2016
- Language
- EN