Secrieru, Ivan; Ţicău, Vitalie Weighted approximate scheme for fractional order diffusion equation. (English) Zbl 1413.65343 Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 57(61), No. 1, 249-253 (2011). Summary: The authors consider the evolution equation modeling the transport of a substance in some medium. The diffusion factor of this process is introduced by means of the fractional space derivative. An approximate scheme to solving this problem numerically is constructed by using the discretized Grunwald formulas and a weighted average of two time points. MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35R11 Fractional partial differential equations Keywords:evolution equation; fractional derivative; stability of weighted approximate scheme PDFBibTeX XMLCite \textit{I. Secrieru} and \textit{V. Ţicău}, Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 57(61), No. 1, 249--253 (2011; Zbl 1413.65343)