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AuthorAdam, A. M. A.
AuthorBashier, E. B. M.
AuthorHashim, M. H. A.
AuthorPatidar, K. C.
Available date2021-09-01T10:02:50Z
Publication Date2016
Publication NameMathematical Methods in the Applied Sciences
ResourceScopus
URIhttp://dx.doi.org/10.1002/mma.3756
URIhttp://hdl.handle.net/10576/22425
AbstractIn this paper, we consider a class of parabolic partial differential equations with a time delay. The first model equation is the mixed problems for scalar generalized diffusion equation with a delay, whereas the second model equation is a delayed reaction-diffusion equation. Both of these models have inherent complex nature because of which their analytical solutions are hardly obtainable, and therefore, one has to seek numerical treatments for their approximate solutions. To this end, we develop a fitted Galerkin spectral method for solving this problem. We derive optimal error estimates based on weak formulations for the fully discrete problems. Some numerical experiments are also provided at the end. Copyright 2015 John Wiley & Sons, Ltd. Copyright 2015 John Wiley & Sons, Ltd.
Languageen
PublisherJohn Wiley and Sons Ltd
SubjectDiffusion
Diffusion in liquids
Galerkin methods
Linear equations
Partial differential equations
Spectroscopy
Time delay
Convergence analysis
Error estimates
Galerkin spectral method
Generalized diffusion equation
Numerical experiments
Optimal error estimate
Parabolic partial differential equations
Reaction diffusion equations
Problem solving
TitleFitted Galerkin spectral method to solve delay partial differential equations
TypeArticle
Pagination3102-3115
Issue Number11
Volume Number39
dc.accessType Abstract Only


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