Analysis of a moving collocation method for one-dimensional partial differential equations

DOI10.1007/S11425-011-4329-ZzbMath1245.65138OpenAlexW2263531082MaRDI QIDQ424316

Weizhang Huang, Robert D. Russell, Jingtang Ma

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4329-z

zbMATH Keywords

convergencenumerical resultsmass conservationfinite volume methodmoving meshHermite basis functionlinear two-point boundary value problemsmoving collocation method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations ⋮ Convergence analysis of moving finite element methods for space fractional differential equations ⋮ Moving collocation method for a reaction-diffusion equation with a traveling heat source ⋮ Simulation of blow-up solutions to the generalized KdV equations by moving collocation methods

Uses Software

• DASSL
• MOVCOL4

Cites Work

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