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Numerical Solutions of the Eigenvalue Problems of Sturm-Liouville Type by Using Power Series Approximation about Regular-Singular Points

Numerical Solutions of the Eigenvalue Problems of Sturm-Liouville Type by Using Power Series Approximation about Regular-Singular Points

Our Milne-Spline method, though found very useful for most cases of the Sturm-Liouville differential equations, has not worked well for the associated Laguerre and Legendre equations if m = 0 due to admixture of singular solutions inevitable in numerical computations. This paper shows that the use of power series approximation …