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Title

Integral Equations
Author

S. Richardson
Journal / Anthology

The Mathematica Journal
Year: 2004
Volume: 9
Issue: 2
Page range: 360-482
Contents

Introductory Example; The Condenser Problem; Conformal Mapping; Nekrasov's Equation; Concluding Remarks; References
Description

We show how Mathematica can be used to obtain numerical solutions of integral equations by exploiting a combination of iteration and interpolation. The efficacy of the method is demonstrated by considering three classical integral equations of applied mathematics: Love's equation for the condenser problem, Theodorsen's equation associated with conformal mapping, and Nekrasov's equation arising in the theory of water waves. The success of the approach depends on the use of an appropriate method for the interpolation.
Subjects

*Mathematics > Calculus and Analysis
*Science > Physics > Fluid Mechanics
URL

http://www.mathematica-journal.com/issue/v9i2/contents/IntegralEquations/IntegralEquations.nb
http://www.mathematica-journal.com/issue/v9i2/contents/IntegralEquations/IntegralEquations_1.html