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An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
Ford, Neville J. Morgado, Maria L. Rebelo, Magda S.
Ford, Neville J.
Morgado, Maria L.
Rebelo, Magda S.
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2015-06-10
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Abstract
In this paper we are concerned with the numerical solution of a diffusion equation in which the time order derivative is distributed over the interval [0,1]. An implicit numerical method is presented and its unconditional stability and convergence are proved. A numerical example is provided to illustrate the obtained theoretical results.
Citation
Ford, N. J., Morgado, M. L., & Rebelo, M. S. (2015). An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Electronic Transactions on Numerical Analysis, 44, 289-305.
Publisher
Kent State University
Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences
Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences
Journal
Electronic Transactions on Numerical Analysis
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Article
Language
en
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ISSN
1068–9613