A recursive formulation of Galerkin's method in terms of the tau method: Bounded and unbounded domains

DOI10.1016/S0898-1221(98)00098-4zbMath0999.65043MaRDI QIDQ1608432

Eduardo L. Ortiz, Mohamed K. El-Daou

Publication date: 6 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplesunbounded domainsGalerkin's methodlinear operator equationnonlinear ordinary differential equationstau methodnonlinar partial differential equationsrecursive computations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for nonlinear higher-order PDEs (35G30) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

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Cites Work

• Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
• A recursive formulation of collocation in terms of canonical polynomials
• A unified approach to the tau method and Chebyshev series expansion techniques
• Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
• Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions
• The Tau Method
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