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In this paper, the finite difference scheme is developed for the time‐space fractional diffusion equation with Dirichlet and fractional boundary conditions. The time and space fractional derivatives are considered in… Click to show full abstract
In this paper, the finite difference scheme is developed for the time‐space fractional diffusion equation with Dirichlet and fractional boundary conditions. The time and space fractional derivatives are considered in the senses of Caputo and Riemann‐Liouville, respectively. The stability and convergence of the proposed numerical scheme are strictly proved, and the convergence order is O(τ2−α+h2). Numerical experiments are performed to confirm the accuracy and efficiency of our scheme.
Keywords:
time space;
space fractional;
scheme;
finite difference
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
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recommendations!