Operatorial Tau Method for Higher Order Differential Problems
Damian Trif *
Department of Mathematics, Babes¸–Bolyai University, 400084 Cluj–Napoca, Romania.
*Author to whom correspondence should be addressed.
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.
Keywords: Higher order problems, Chebyshev polynomials, tau method, Lyapunov-Schmidt method