Numerical solution of differential eigenvalue problems with variable coefficients with the Tau-Collocation method

K. M. Liu

doi:10.1016/0895-7177(88)90577-8

Numerical solution of differential eigenvalue problems with variable coefficients with the Tau-Collocation method

K. M. Liu

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

In this paper we discuss the use of the Tau-Collocation method for the numerical approximation of eigenvalues defined by the differential equations with variable coefficients. They lead to accurate numerical results through the use of a simple algorithm. Numerical results obtained by using the zeros of the appropriate Chebyshev and Legendre polynomials are reported. © 1988.

Original language	English
Pages (from-to)	672-675
Journal	Mathematical and Computer Modelling
Volume	11
Issue number	C
DOIs	https://doi.org/10.1016/0895-7177(88)90577-8
Publication status	Published - 1988
Externally published	Yes

Research Keywords

differential eigenvalue problems
Tau-Collection method

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title = "Numerical solution of differential eigenvalue problems with variable coefficients with the Tau-Collocation method",

abstract = "In this paper we discuss the use of the Tau-Collocation method for the numerical approximation of eigenvalues defined by the differential equations with variable coefficients. They lead to accurate numerical results through the use of a simple algorithm. Numerical results obtained by using the zeros of the appropriate Chebyshev and Legendre polynomials are reported. {\textcopyright} 1988.",

keywords = "differential eigenvalue problems, Tau-Collection method",

author = "Liu, \{K. M.\}",

year = "1988",

doi = "10.1016/0895-7177(88)90577-8",

language = "English",

volume = "11",

pages = "672--675",

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TY - JOUR

T1 - Numerical solution of differential eigenvalue problems with variable coefficients with the Tau-Collocation method

AU - Liu, K. M.

PY - 1988

Y1 - 1988

N2 - In this paper we discuss the use of the Tau-Collocation method for the numerical approximation of eigenvalues defined by the differential equations with variable coefficients. They lead to accurate numerical results through the use of a simple algorithm. Numerical results obtained by using the zeros of the appropriate Chebyshev and Legendre polynomials are reported. © 1988.

AB - In this paper we discuss the use of the Tau-Collocation method for the numerical approximation of eigenvalues defined by the differential equations with variable coefficients. They lead to accurate numerical results through the use of a simple algorithm. Numerical results obtained by using the zeros of the appropriate Chebyshev and Legendre polynomials are reported. © 1988.

KW - differential eigenvalue problems

KW - Tau-Collection method

UR - https://www.scopus.com/pages/publications/45549120784

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-45549120784&origin=recordpage

U2 - 10.1016/0895-7177(88)90577-8

DO - 10.1016/0895-7177(88)90577-8

M3 - RGC 21 - Publication in refereed journal

SN - 0895-7177

VL - 11

SP - 672

EP - 675

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - C

ER -

Numerical solution of differential eigenvalue problems with variable coefficients with the Tau-Collocation method

Abstract

Research Keywords

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