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A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations by Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen is a Computer Science article available to read on EtoBox.

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In this article, 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. Under suitable properties of these matrices, we present the computational algorithm with high accuracy for solving the proposed problems. Modified and pseudo-operational matrices are employed to achieve the nonlinear algebraic equation corresponding to the proposed problems. In addition, the convergence of the approximate solution to the exact solution is proven by providing an upper bound of error estimate. Numerical experiments for both classes of problems are presented to confirm our theoretical analysis.

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Author

Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 1070-5325)

Published

2020

Language

EN

Field

Computer Science (Physical Sciences)