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dc.contributor.authorAli, Ishtiaq ( Orcid Icon 0000-0003-0089-4094 )
dc.contributor.authorSaleem, Maliha Tahseen ( )
dc.date.accessioned2022-03-28T16:47:16Z
dc.date.available2022-03-28T16:47:16Z
dc.date.issued2017-02-10
dc.identifier.citationAli, I., & Saleem, M. T. (2017). A semi-analytic spectral method for elliptic partial differential equations. Electronic Journal of Differential Equations, 2017(43), pp. 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15567
dc.description.abstractIn this article we present a semi-analytic method for solving elliptic partial differential equations. The technique is based on using a spectral method approximation for the second-order derivative in one of the spatial directions followed by solving the resulting system of second-order differential equations by an analytic method. That is, the system of second-order two-point boundary-value problems are solved analytically by casting them in first-order form and solving the resulting set of first-order equations by using the matrix exponential. An important aspect of our technique is that the solution obtained is semi-analytic, e.i., using analytic method in y and spectral method in x. The new method can be used for both linear and non-linear boundary conditions as well as for nonlinear elliptic partial differential equations.en_US
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSemi-analytical techniqueen_US
dc.subjectChebyshev-spectral methoden_US
dc.subjectExponential matrixen_US
dc.titleA semi-analytic spectral method for elliptic partial differential equationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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