Numerical solution of Love’s integral equation using Daubechies scale function

Article Type

Research Article

Publication Title

Montes Taurus Journal of Pure and Applied Mathematics

Abstract

This paper presents an efficient numerical scheme for solving a special type of quasi-singular integral equation attributed to Eric Russel Love. The proposed scheme involves the use of an expansion technique of the unknown function of the integral equation in terms of Daubechies scale function. This integral equation has an immense importance in the field of electrostatics. After obtaining the unknown function f (x) approximately, numerically the capacity of two parallel coaxial disks of unit radius are calculated for different separating parameter κ and the computed results are compared with Nomura-Cook results available in the literature. The potential at any point outside the disks is determined numerically. Also the convergence of the proposed method is established.

First Page

45

Last Page

59

Publication Date

1-1-2022

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