Recursive construction of particular solutions to nonhomogeneous linear partial differential equations of elliptic type

DOI10.1016/0377-0427(92)90132-HzbMath0749.65075MaRDI QIDQ1186914

Hugo L. Janssen, Hendrik L. Lambert

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

least-squares methodharmonic polynomialsrecursive constructionrecursive methodparticular solutionslinear elliptic problemsleast squares collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term, The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations, Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators

Uses Software

• ELLPACK

Cites Work

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• Recursive construction of a sequence of solutions to homogeneous linear partial differential equations with constant coefficients
• Application of the method of the kernel function for solving boundary- value problems
• An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation
• Advances in Orthonormalizing Computation
• Approximation to a Function by a Polynomial in Another Function