Numerical solution of differential eigenvalue problems with an operational approach to the Tau method

A technique for the numerical solution of eigenvalue problems defined by differential equations, based on an operational approach to the Tau method recently proposed by the authors, is shown to be equivalent to a method of Chaves and Ortiz. The technique discussed here leads to an algorithmic formul...

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Bibliographic Details
Published inComputing Vol. 31; no. 2; pp. 95 - 103
Main Authors Ortiz, E. L., Samara, H.
Format Journal Article
LanguageEnglish
Published Wien Springer 01.06.1983
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Eigenvalue problem
Stability
Collocation method
Differential equation
Equation system
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ISSN0010-485X
1436-5057
DOI10.1007/BF02259906

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Summary:A technique for the numerical solution of eigenvalue problems defined by differential equations, based on an operational approach to the Tau method recently proposed by the authors, is shown to be equivalent to a method of Chaves and Ortiz. The technique discussed here leads to an algorithmic formulation of remarkable simplicity and to numerical results of high accuracy. It requires no shooting and can deal with complex multipoint boundary conditions and a nonlinear dependence on the eigenvalue parameter.
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ISSN:0010-485X
1436-5057
DOI:10.1007/BF02259906