Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method
type: Item
instance of: scholarly article
title: Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method
zbMATH Open document ID: 1404.65205
DOI: 10.1155/2017/2610804
author: Xiaoyong Xu
author: Fengying Zhou
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: The second-kind Chebyshev wavelets collocation method is applied for solving a class of time-fractional diffusion-wave equation. Fractional integral formula of a single Chebyshev wavelet in the Riemann-Liouville sense is derived by means of shifted Chebyshev polynomials of the second kind. Moreover, convergence and accuracy estimation of the second-kind Chebyshev wavelets expansion of two dimensions are given. During the process of establishing the expression of the solution, all the initial and boundary conditions are taken into account automatically, which is very convenient for solving the problem under consideration. Based on the collocation technique, the second-kind Chebyshev wavelets are used to reduce the problem to the solution of a system of linear algebraic equations. Several examples are provided to confirm the reliability and effectiveness of the proposed method.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 6962599
zbMATH Keywords: second-kind Chebyshev wavelets collocation method
zbMATH Keywords: time-fractional diffusion-wave equation
zbMATH Keywords: shifted Chebyshev polynomials
zbMATH Keywords: system of linear algebraic equations
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2610804
OpenAlex ID: W2753103130
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description: scientific article; zbMATH DE number 6962599