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On analysis of kernel collocation methods for spherical PDEs
Department of Mathematics, University of Isfahan, Isfahan, Iran;School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.ORCID iD: 0000-0002-0166-4760
2020 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 150, p. 222-232Article in journal (Refereed) Published
Abstract [en]

In this paper the error analysis of the kernel collocation method for partial differential equations on the unit sphere is presented. A simple analysis is given when the true solutions lie in arbitrary Sobolev spaces. This also extends the previous studies for true solutions outside the associated native spaces. Finally, some experimental results support the theoretical error bounds

Place, publisher, year, edition, pages
Elsevier, 2020. Vol. 150, p. 222-232
Keywords [en]
Partial differential equations, Collocation method, Zonal kernels, Sobolev spaces, Error analysis
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-495536DOI: 10.1016/j.apnum.2019.10.001ISI: 000513295400016OAI: oai:DiVA.org:uu-495536DiVA, id: diva2:1732184
Available from: 2023-01-30 Created: 2023-01-30 Last updated: 2023-02-01Bibliographically approved

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Mirzaei, Davoud

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