High Accuracy Numerical Algorithm For The Modified Anomalous Subdiffusion Equation

Anomalous subdiffusion equations have been widely applied in the ?eld of physical, chemical and biological.The investigation of numerical method and the relevant theory has very important practical and theoretical signi?cance.In this paper a new numerical method is proposed for solving the modi?ed anomalous subdiffusion equation by the method of compact scheme and the improved Gr ¨unwald- Letnikovmethods from The literature. When the ratio of the grid satis?es certain conditions, the stability and convergence of the numerical method are proved by Fourier analysis.Numerical examples demonstrate the theoretical results and accuracy of the proposed scheme.