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Article

4 Citations

1,971 Views

15 Pages

Sinc Collocation Method to Simulate the Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

Mingzhu Li,
Lijuan Chen and
Yongtao Zhou

Axioms2023, 12(9), 898;https://doi.org/10.3390/axioms12090898

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21 September 2023

In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel. The weight and shift Grünwald difference (WSGD) operator is adopted to approximat...

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Article

5 Citations

2,367 Views

23 Pages

On a Multigrid Method for Tempered Fractional Diffusion Equations

Linlin Bu and
Cornelis W. Oosterlee

Fractal Fract.2021, 5(4), 145;https://doi.org/10.3390/fractalfract5040145

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29 September 2021

In this paper, we develop a suitable multigrid iterative solution method for the numerical solution of second- and third-order discrete schemes for the tempered fractional diffusion equation. Our discretizations will be based on tempered weighted and...

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