Optimal error estimates of the Legendre tau method for second-order differential equations

DOI10.1007/s10915-009-9323-zzbMath1203.65118OpenAlexW2043274463MaRDI QIDQ618536

Ting-Ting Shen, Zhongqiang Zhang, He-Ping Ma

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9323-z

zbMATH Keywords

second-order differential equationtau methodoptimal error estimate

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations ⋮ An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions ⋮ A Legendre Petrov-Galerkin method for fourth-order differential equations ⋮ Numerical solutions of Black-Scholes integro-differential equations with convergence analysis

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