What is it about?

we study the numerical technique for variable-order fractional reaction-diffusion and subdiffusion equations that the fractional derivative is described in Caputo’s sense. The discrete scheme is developed based on Lucas multiwavelet functions and also modified and pseudo-operational matrices.

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Why is it important?

The purpose of this article is to present a numerical method based on the Lucas multiwavelet functions (LMWFs), these functions are constructed from Lucas polynomials. In addition, the proposed method includes novel techniques for obtaining the modified operational matrix (MOM) of integration and POM of the VO-fractional derivative.

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This page is a summary of: A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations, Numerical Linear Algebra with Applications, November 2020, Wiley, DOI: 10.1002/nla.2346.
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