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Mixed Boundary Value Problems in Electrostatics
Author(s) -
Gupta O. P.,
Gupta S. K.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750551204
Subject(s) - integral equation , strips , cylinder , boundary value problem , fredholm integral equation , mathematical analysis , mathematics , electrostatics , fredholm theory , situated , domain (mathematical analysis) , geometry , physics , computer science , quantum mechanics , algorithm , artificial intelligence
This paper deals with two problems. The first problem is to determine the electrostatic potential in the vicinity of two cross‐shaped charged strips, while in the second the study is made when these strips are situated inside a grounded cylinder. Both problems are first reduced to two sets of dual integral equations which are further reduced to two Fredholm integral equations of the second kind. These equations are solved numerically and quantities of physical interest are calculated.