Second order Jacobi approximation with applications to fourth-order differential equations

DOI10.1016/j.apnum.2005.01.002zbMath1081.65080OpenAlexW2074630359MaRDI QIDQ2573625

Delin Chu, Zheng-Su Wan, Zhong-qing Wang, Ben-yu Guo

Publication date: 22 November 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.01.002

zbMATH Keywords

convergencenumerical resultsorthogonal projectionsecond order Jacobi approximationspectral method fourth-order problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (14)

A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions ⋮ Legendre spectral method for solving mixed boundary value problems on rectangle ⋮ Generalized Jacobi approximation in multiple dimensions and its applications ⋮ Generalized Jacobi-Gauss-Lobatto interpolation ⋮ Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains ⋮ Composite Laguerre-Legendre spectral method for fourth-order exterior problems ⋮ A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations ⋮ Some progress in spectral methods ⋮ Spectral element method for mixed inhomogeneous boundary value problems of fourth order ⋮ A new Galerkin spectral element method for fourth-order boundary value problems ⋮ Error analysis of Legendre spectral method with essential imposition of Neumann boundary condition ⋮ Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems ⋮ \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations ⋮ Spectral method for fourth-order problems on quadrilaterals

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