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Research Article Open access CC BY 3.0

Operatorial Tau Method for Higher Order Differential Problems

Damian Trif

Journal of Advances in Mathematics and Computer Science · pp. 772–793 · Published 24 Aug 2013

10.9734/BJMCS/2013/5232

Abstract

The paper extends the applicability of our freely accessible Matlab package Chebpack to calculate the eigenvalues and eigenfunctions of some higher order differential problems as well as to semidiscretize evolution problems, directly or by using the Lyapunov-Schmidt reduction method. The numerical examples illustrate the accuracy and the simplicity of the algorithms and prove the importance of this approach for practical applications.

Higher order problems Chebyshev polynomials tau method Lyapunov-Schmidt method

Cited by 6

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