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Numerical solution of two transcendental equations

Author: Luciano Misici
Journal: Math. Comp. 42 (1984), 589-595
MSC: Primary 65H05; Secondary 65N25
MathSciNet review: 736454
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Abstract: This paper deals with the study of the transcendental equations: $ \sin (s + v)/(s + v) = \pm \sin (s - v)/(s - v)$, where $ v = {({s^2} - {\gamma ^2})^{1/2}}$. These equations are obtained in the study of some boundary value problems for a modified biharmonic equation using the Papkovich-Fadle series. Some numerical solutions obtained with an iterative procedure are given.

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Article copyright: © Copyright 1984 American Mathematical Society