Integral equation with Macdonald kernel and its application to a system of contact problem

M.A. Abdou

doi:10.1016/S0096-3003(99)00150-2

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Integral equation with Macdonald kernel and its application to a system of contact problem

Journal article

Peer reviewed

Integral equation with Macdonald kernel and its application to a system of contact problem

M.A. Abdou

Applied mathematics and computation, Vol.118(1), pp.83-94

15/02/2001

DOI: https://doi.org/10.1016/S0096-3003(99)00150-2

Abstract

Contact problem

Integral equation

Legender polynomial function

Macdonald function

A generalized potential theory method is used to construct a closed form solution of the axi-symmetric contact problem for a finite system of impressing stamps of angular form in a plane into a half-space occupying the domain −∞<x<∞, −a j<y<a j, z=0, J=1,2,…,p . The problem is reduced to Fredholm integral equation with Macdonald kernel. Also the spectral relationships in spheroidal wave functions are obtained. Many different cases are discussed in this work.

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Details

Title: Integral equation with Macdonald kernel and its application to a system of contact problem
Creators - without role: M.A. Abdou - Alexandria University
Publication Details: Applied mathematics and computation, Vol.118(1), pp.83-94
Publisher: Elsevier Inc
Identifiers: 9932688108331
Academic Unit: University of Bisha
Language: English
Resource Type: Journal article