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Neetu Garg (National Institute of Technology Kurukshetra , India)
Tuesday 22 February 2022, 14:30-15:00
A Numerical Treatment for a Class of Multi-term Time Fractional Advection Diffusion Equations
- 👤 Speaker: Neetu Garg (National Institute of Technology Kurukshetra , India)
- 📅 Date & Time: Tuesday 22 February 2022, 14:30 - 15:00
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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