# New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

@article{Zhuang2008NewSA, title={New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation}, author={P. Zhuang and Fawang Liu and Vo V. Anh and Ian W. Turner}, journal={SIAM J. Numer. Anal.}, year={2008}, volume={46}, pages={1079-1095} }

A physical-mathematical approach to anomalous diffusion is based on a generalized diffusion equation containing derivatives of fractional order. In this paper, an anomalous subdiffusion equation (ASub-DE) is considered. A new implicit numerical method (INM) and two solution techniques for improving the order of convergence of the INM for solving the ASub-DE are proposed. The stability and convergence of the INM are investigated by the energy method. Some numerical examples are given. The… CONTINUE READING

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