Combining approach of collocation and finite difference methods for fractional parabolic PDEs

Combining approach of collocation and finite difference methods for fractional parabolic PDEs

This research aims to estimate the solutions of fractional-order partial differential equations of spacial fractional and both time-space fractional order. For this, we use finite differences for time derivatives and the well-known collocation method for space derivatives with lower-order Bernstein...

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Bibliographic Details
Main Authors: Md. Shorif Hossan, Trishna Datta, Md. Shafiqul Islam
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Fractional PDE
Diffusion equation
Collocation method
Finite difference method
Bernstein polynomials
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124003073

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http://www.sciencedirect.com/science/article/pii/S2666818124003073

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