Numerical solution of two transcendental equations

Author:
Luciano Misici

Journal:
Math. Comp. **42** (1984), 589-595

MSC:
Primary 65H05; Secondary 65N25

DOI:
https://doi.org/10.1090/S0025-5718-1984-0736454-X

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