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A Numerical Treatment for a Class of Multi-term Time Fractional Advection Diffusion Equations

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FD2W01 - Deterministic and stochastic fractional diļ¬€erential equations and jump processes

We present exponential B-spline collocation method for a class of variable coefficient multi-term time-fractional advection-diffusion equation in the Caputo sense. First, we discretize the equation by using Crank-Nicolson approach in time direction and then the resultant spacial equation is discretized by using  exponential B-splines. The stability and convergence analysis of the proposed scheme has been discussed. Numerical simulations exhibit the theoretically expected accuracy in both time and space. A comparison with existing methods indicate the efficiency and superiority of the proposed method. This is a joint work with Dr. A.S.V. Ravi Kanth.

This talk is part of the Isaac Newton Institute Seminar Series series.

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