Numerical solutions to heat equations via the spectral method

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dc.contributor.authorAbdelwahed, Mohamed
dc.contributor.authorChorfi, Nejmeddine
dc.contributor.authorRadulescu, Vicentiu
dc.date.accessioned2023-06-15T19:13:36Z
dc.date.available2023-06-15T19:13:36Z
dc.date.issued2016-03-11
dc.description.abstractIn this article we study a discretized version of the heat equation. For the time semi-discrete problem, we use an implicit Euler's scheme, and for the space discretization we used the spectral method. We estimate for the error between the exact and approximated discrete solutions, and illustrate the features of our method with numerical examples.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAbdelwahed, M., Chorfi, N., & Radulescu, V. (2016). Numerical solutions to heat equations via the spectral method. Electronic Journal of Differential Equations, 2016(68), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16940
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHeat equation
dc.subjectEuler's method
dc.subjectSpectral discretization
dc.subjectError estimate
dc.titleNumerical solutions to heat equations via the spectral method
dc.typeArticle

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