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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Numerical solution of two transcendental equations
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by Luciano Misici PDF
Math. Comp. 42 (1984), 589-595 Request permission

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.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • 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