A lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations

dc.contributor.authorPindza, Edson
dc.contributor.authorMba, Jules Clement
dc.contributor.authorMare, Eben
dc.contributor.authorMoubandjo, Desiree
dc.contributor.emaileben.mare@up.ac.zaen_ZA
dc.date.accessioned2017-09-28T10:03:49Z
dc.date.available2017-09-28T10:03:49Z
dc.date.issued2016
dc.description.abstractEvolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2017en_ZA
dc.description.sponsorshipE. Pindza is thankful to BradWelch for the financial support through RidgeCape Capital.en_ZA
dc.description.urihttp://www.ijnsns.comen_ZA
dc.identifier.citationPindza, E., Mba, J.C., Maré, E. & Moubandjo, D. 2016, 'A lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations', International Journal of Nonlinear Sciences and Numerical Simulation, vol. 18, no. 1, pp. 93-102.en_ZA
dc.identifier.issn1565-1339 (print)
dc.identifier.issn2191-0294 (online)
dc.identifier.other10.1515/ijnsns-2016-0089
dc.identifier.urihttp://hdl.handle.net/2263/62528
dc.language.isoenen_ZA
dc.publisherDe Gruyteren_ZA
dc.rightsDe Gruyter Open Accessen_ZA
dc.subjectLocal spectral methodsen_ZA
dc.subjectLagrange regularized kernelen_ZA
dc.subjectTime-fractional diffusion equationsen_ZA
dc.subjectExponential integratorsen_ZA
dc.titleA lagrange regularized kernel method for solving multi-dimensional time-fractional heat equationsen_ZA
dc.typeArticleen_ZA

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