Double ultraspherical solution of eigenvalue problems for partial differential equations

Abstract

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 Tau-Lines method, El-Hawary [8] by using El-Gendi-Lines method, El-Hawary [7] by using double Chebyshev approximation and Brandt et al.[1] by using multigrid method.

Keywords:

• Spectral methods
• Approximation by ultraspherical polynomials
• Partial differential equations
• Eigenvalue problems

AMS Subject Classifications:

• 65N35
• 45L10
• 49M

C.R.Categories:

• 1.6

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Notes

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