Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2011.51.4.435
Title & Authors
A Chebyshev Collocation Method for Stiff Initial Value Problems and Its Stability Kim, Sang-Dong; Kwon, Jong-Kyum; Piao, Xiangfan; Kim, Phil-Su;
The Chebyshev collocation method in  to solve stiff initial-value problems is generalized by using arbitrary degrees of interpolation polynomials and arbitrary collocation points. The convergence of this generalized Chebyshev collocation method is shown to be independent of the chosen collocation points. It is observed how the stability region does depend on collocation points. In particular, A-stability is shown by taking the mid points of nodes as collocation points.
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