An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
dc.contributor.author | Ford, Neville J. | * |
dc.contributor.author | Morgado, Maria L. | * |
dc.contributor.author | Rebelo, Magda S. | * |
dc.date.accessioned | 2016-01-20T19:18:03Z | |
dc.date.available | 2016-01-20T19:18:03Z | |
dc.date.issued | 2015-06-10 | |
dc.identifier.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. | en |
dc.identifier.issn | 1068–9613 | en |
dc.identifier.uri | http://hdl.handle.net/10034/594433 | |
dc.description.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. | |
dc.language.iso | en | en |
dc.publisher | Kent State University/Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences | en |
dc.relation.url | http://etna.math.kent.edu/vol.44.2015/pp289-305.dir/pp289-305.pdf | en |
dc.subject | Caputo derivative | en |
dc.subject | Fractional differential equation | en |
dc.subject | subdiffusion | en |
dc.subject | Finite difference method | en |
dc.subject | Distributed order differential equations | en |
dc.title | An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time | en |
dc.type | Article | en |
dc.contributor.department | University of Chester, UTAD, Portugal, Universidade Nova de Lisboa, Portugal | en |
dc.identifier.journal | Electronic Transactions on Numerical Analysis | |
dc.internal.reviewer-note | Need to check if publisher permits archiving in repositories - is OA journal but no info on Romeo or jnl website KS 20/01/2016 | en |
html.description.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. | |
rioxxterms.publicationdate | 2015-06-10 |