Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method

DOI10.1007/BF02259093zbMath0675.65087OpenAlexW115496318MaRDI QIDQ1122335

Kam-Moon Liu, Eduardo L. Ortiz

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259093

zbMATH Keywords

Tau methodgeneralized eigenvalue problemsordinary and partial functional-differential equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Partial functional-differential equations (35R10) General theory of functional-differential equations (34K05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (14)

Improving the accuracy of Chebyshev Tau method for nonlinear differential problems ⋮ Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach ⋮ Tau approximate solution of fractional partial differential equations ⋮ The automatic solution to systems of ordinary differential equations by the tau method ⋮ Numerical approximation of solutions of functional equations using the Tau method ⋮ Direct operatorial tau method for pantograph-type equations ⋮ An extension of the Tau numerical algorithm for the solution of linear and nonlinear Lane–Emden equations ⋮ An improved tau method for a class of Sturm-Liouville problems ⋮ A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations ⋮ A Tau-like numerical method for solving fractional delay integro-differential equations ⋮ Extension of generalized recursive Tau method to non-linear ordinary differential equations ⋮ Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation ⋮ Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method ⋮ Numerical solution of a class of integro-differential equations by the tau method with an error estimation

Cites Work

• Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
• On the convergence of the Tau method for nonlinear differential equations of Riccati's type
• Numerical solution of regular and singular biharmonic problems with the Tau lines method
• Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
• Tau method approximate solution of highorder differential eigenvalue problems defined in the complex plane, with an application to orr-sommerfeld stability equation
• The Tau Method
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