Matrix displacement mappings in the numerical solution of functional and nonlinear differential equations with the tau method

DOI10.1080/01630568308816173zbMath0567.65056OpenAlexW2120011327MaRDI QIDQ3683463

H. Samara, Eduardo L. Ortiz

Publication date: 1983

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568308816173

zbMATH Keywords

singular pointsmultiple solutionsstiffnessTau methodmatrix displacement mappings

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)

Related Items (5)

Numerical treatment of differential equations with the \(\tau\)-method ⋮ The adaptive operational tau method for systems of ODEs ⋮ Numerical approximation of solutions of functional equations using the Tau method ⋮ On the convergence of the Tau method for nonlinear differential equations of Riccati's type ⋮ On a differential-delay equation arising in number theory

Cites Work

• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• The special functions and their approximations. Vol. I, II
• A Posteriori Error Bounds for Two-Point Boundary Value Problems
• Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error
• A Model Nonlinear Problem Having a Continuous Locus of Singular Points
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions

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