Numerical Solution of Two Transcendental Equations
Copyright policy )Numerical Solution of Two Transcendental Equations
This paper deals with the study of the transcendental equations: sin ( s + v ) / ( s + v ) = ± sin ( s − v ) / ( s − v ) \sin (s + v)/(s + v) = \pm \sin (s - v)/(s - v) , where v = ( s 2 − γ 2 ) 1 / 2 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.
- University of Camerino Italy
Papkovich-Fadle series, biharmonic equation, Flows in porous media; filtration; seepage, Numerical computation of solutions to single equations, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, transcendental equations, iterative procedure
Papkovich-Fadle series, biharmonic equation, Flows in porous media; filtration; seepage, Numerical computation of solutions to single equations, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, transcendental equations, iterative procedure
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