Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation

DOI10.1137/S0036142902381024zbMath1058.65076WikidataQ115246833 ScholiaQ115246833MaRDI QIDQ4443696

Sun, Weiwei, Weizhang Huang, He-Ping Ma

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleChebyshev methodPoisson equationseparation of variablesspectral collocation methodsingular differential equationcoordinate singularityLegendre method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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