Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly

DOI10.1016/0021-9991(87)90085-4zbMath0641.65067OpenAlexW1975587738MaRDI QIDQ1100861

Eduardo L. Ortiz, Kam-Moon Liu

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90085-4

zbMATH Keywords

numerical exampleseigenvaluesLanczos methodTau methodlinear ordinary differential operators with polynomial coefficientspolynomial dependence

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (10)

A super accurate shifted tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions ⋮ An Operational Matrix Method for Solving Delay Fredholm and Volterra Integro–Differential Equations ⋮ Tau approximate solution of fractional partial differential equations ⋮ The automatic solution to systems of ordinary differential equations by the tau method ⋮ An extension of the Tau numerical algorithm for the solution of linear and nonlinear Lane–Emden equations ⋮ Iterative algorithms for nonlinear ordinary differential eigenvalue problems ⋮ 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 ⋮ Numerical solution of a class of integro-differential equations by the tau method with an error estimation

Cites Work

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• Numerical solution of nonlinear partial differential equations with 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
• A Class of Biharmonic End-strip Problems Arising in Elasticity and Stokes Flow
• On the convergence of the Tau method for nonlinear differential equations of Riccati's type
• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• On the numerical solution of two‐point boundary value problems for linear differential equations
• The Tau Method

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