An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain

We provide an effective finite element method to solve the Schrödinger eigenvalue problem with an inverse potential on a spherical domain. To overcome the difficulties caused by the singularities of coefficients, we introduce spherical coordinate transformation and transfer the singularities from th...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2020; no. 1; pp. 1 - 15
Main Authors:	Sui, Yubing, Zhang, Donghao, Cao, Junying, Zhang, Jun
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 17.10.2020 SpringerOpen
Subjects:	Analysis Applications Difference and Functional Equations Dimension reduction scheme Eigenvalue problem Error estimation Finite element method Functional Analysis Mathematics Mathematics and Statistics Methods Ordinary Differential Equations Partial Differential Equations Singularity Topics in Special Functions and q-Special Functions: Theory Finite element method Singularity 65N15 Error estimation Eigenvalue problem Dimension reduction scheme 65N30
ISSN:	1687-1847, 1687-1847
Online Access:	Get full text
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