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- W2996317700 abstract "Abstract The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while non-polynomial quintic spline is employed as an interpolating function in the spatial direction. The proposed method is shown to be unconditionally stable and $O(h^{4}+Delta t^{2})$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn>4</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>Δ</mml:mi><mml:msup><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:math> accurate. In order to check the feasibility of the proposed technique, some test examples have been considered and the simulation results are compared with those available in the existing literature." @default.
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- W2996317700 date "2019-12-01" @default.
- W2996317700 modified "2023-10-16" @default.
- W2996317700 title "A fourth order non-polynomial quintic spline collocation technique for solving time fractional superdiffusion equations" @default.
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- W2996317700 doi "https://doi.org/10.1186/s13662-019-2442-4" @default.
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