Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 163, Issue -, Pages 80-89Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2019.02.010
Keywords
Haar wavelet; Numerical solutions; Convergence analysis; Operational matrix; Integral-differential equations
Categories
Funding
- Major program of national natural science foundation of China [U1710254]
- China major projects [MC2016-01]
- Natural science foundation of Shanxi Province, China [201701D121078, 201701D221143]
- Shanxi province science and technology
- Key projects of Shanxi Province key research and development plan, China [201703D111003]
- Taiyuan city science and technology major projects, China [170203]
- Scientific and Technological Progress of Shanxi province Colleges and Universities, China [2017132]
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In the current study, a numerical scheme based on the Haar wavelet is proposed to solve a coupled system of fractional-order integral-differential equations. The proposed method is to derive the operational matrix of fractional-order integration, and that is used to transform the main problem to a system of algebraic equations. Additionally, the convergence analysis theorem of this system is rigorously established and the numerical results show that the proposed method is practicable and effective for solving such kinds of problem. (C) 2019 InternationalAssociation forMathematics andComputers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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