Numerical approximation of solutions of functional equations using the Tau method

DOI10.1016/0168-9274(92)90002-UzbMath0755.65129OpenAlexW2029447887MaRDI QIDQ1192511

H. G. Khajah, Eduardo L. Ortiz

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90002-u

zbMATH Keywords

difference equationsfunctional equationsfunctional differential equationsTau methodcanonical polynomialsrational Tau approximationssegmented Tau method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Functional equations for real functions (39B22) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (1)

Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method

Cites Work

• Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method
• Solution of difference equations by use of the tau-method
• Solution of second order difference equations via the tau-method
• Step by step tau method. I: Piecewise polynomial approximations
• Matrix displacement mappings in the numerical solution of functional and nonlinear differential equations with the tau method
• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error
• The Tau Method
• On a Functional Differential Equation
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