Wavelet based algorithm for numerical study of ( 1 + 2 ) $(1+2)$ -dimensional time fractional diffusion problems

Wavelet based algorithm for numerical study of ( 1 + 2 ) $(1+2)$ -dimensional time fractional diffusion problems

Abstract An effective and robust scheme is developed for solutions of two-dimensional time fractional heat flow problems. The proposed scheme is based on two-dimensional Haar wavelets coupled with finite differences. The time fractional derivative is approximated by an L 1 $L_{1}$ -formula while spa...

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Bibliographic Details
Main Authors: Abdul Ghafoor, Sirajul Haq, Manzoor Hussain, Poom Kumam
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Diffusion problems
Two-dimensional Haar wavelets
Caputo fractional derivative of constant order
Finite differences
Online Access:http://link.springer.com/article/10.1186/s13662-020-02861-0

Internet

http://link.springer.com/article/10.1186/s13662-020-02861-0

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