Double ultraspherical solution of eigenvalue problems for partial differential equations

Particular spectral method based on an expansion in double ultraspherical polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients.We obtain comparable results with those computed by Liu and Oritz [14] by using...

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Vydáno v:	International journal of computer mathematics Ročník 78; číslo 2; s. 289 - 301
Hlavní autor:	El-Hawary, H.M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Abingdon Gordon and Breach Science Publishers 01.01.2001 Taylor and Francis
Témata:	1.6 49M Approximation by ultraspherical polynomials Calculus of variations and optimal control Eigenvalue problems Exact sciences and technology Integral equations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Sciences and techniques of general use Spectral methods Spectral method Boundary value problem Approximation method Chebyshev polynomial Numerical method Eigenvalue problem Partial differential equation Legendre polynomial Orthogonal polynomial Numerical result Ultraspherical polynomial Result
ISSN:	0020-7160, 1029-0265
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