Yayınlanmış 1 Ocak 2018
| Sürüm v1
Dergi makalesi
Açık
A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
Oluşturanlar
- 1. Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
Açıklama
A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and spatial discretisations and the method stability is studied. Theoretical estimates of the convergence in the L-2 -norm are shown to be O(tau(2) + h(4)), where tau and h are time and space mesh sizes. Numerical examples confirm theoretical results.
Dosyalar
bib-fe4949ec-3c68-420e-9c9e-e7e35cda6d38.txt
Dosyalar
(208 Bytes)
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