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On solving some eigenvalue problems by using a differential transformation. (English) Zbl 1030.34028
Summary: The author deals with eigenvalues and normalized eigenfunctions for a Sturm-Liouville eigenvalue problem. The technique we have used is based on applying a differential transform to our eigenvalue problem. We compare our results with some known analytical results.

34B24Sturm-Liouville theory
34L16Numerical approximation of eigenvalues and of other parts of the spectrum
34C20Transformation and reduction of ODE and systems, normal forms
Full Text: DOI
[1] Chen, C. -K.; Ho, S. -H.: Application of differential transformation to eigenvalue problems. Appl. math. Comput. 79, 173-188 (1996) · Zbl 0879.34077
[2] W.D. Trim, Applied Partial Differential Equations, PWS-Kent Publishing Company, Boston, MA, 1990, p. 149 · Zbl 0743.46032
[3] J.S. Farlow, Partial Differential Equations for Scientists and Engineers, Wiley, New York, 1982, p. 53
[4] B.F. Hildebrand, Advanced Calculations, Prentice-Hall, Englewood Cliffs, NJ, 1962, pp. 204--205