Abstract
We apply a recent new formulation of the Tau Method to reduce the numerical treatment of eigenvalue problems for ordinary and partialfunctional-differential equations to that of generalized algebraic eigenvalue problems. We find accurate numerical results through the use of a simple algorithm which we discuss in applications to several concrete examples. Extrapolation is used to refine the results already obtained.
Zusammenfassung
Mit Hilfe einer neuen Formulierung der Tau-Methode werden Eigenwertprobleme für gewöhnliche und partielle Funktional-Differentialgleichungen auf verallgemeinerte algebraische Eigenwertprobleme reduziert. Ein einfacher Algorithmus liefert genaue numerische Ergebnisse, die wir an Hand einiger konkreter Beispiele diskutieren. Zur weiteren Verbesserung der Ergebnisse wird Extrapolation verwendet.
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Liu, K.M., Ortiz, E.L. Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau Method. Computing 41, 205–217 (1989). https://doi.org/10.1007/BF02259093
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DOI: https://doi.org/10.1007/BF02259093