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The application of the least squates finite element method to Abel's integral equation
Author(s) -
Balasubramanian R.,
Norrie D. H.,
De Vries G.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140205
Subject(s) - integral equation , finite element method , mathematics , rotational symmetry , mathematical analysis , summation equation , symmetry (geometry) , calculus (dental) , physics , geometry , thermodynamics , medicine , dentistry
Abel's integral equation is the governing equation for certain problems in physics and engineering, such as radiation from distributed sources. The finite element method for the soultion of this non‐linear equation is presented for problems with cylindrical symmetry and the extension to more general integral equations is indicated. The technique was applied to an axisymmetric glow discharge problem and the results show excellent agreement with previously obtained solutions.