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Approximated Solution of a Nonlinear Singular Equation of Prandtl's Type
Author(s) -
Oestreich D.
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931610109
Subject(s) - mathematics , nonlinear system , mathematical analysis , prandtl number , type (biology) , singular solution , integral equation , collocation method , collocation (remote sensing) , convergence (economics) , regular singular point , singular integral , differential equation , ordinary differential equation , physics , heat transfer , ecology , remote sensing , quantum mechanics , biology , geology , economic growth , economics , thermodynamics
A nonlinear strongly singular integral equation, which can be reduced to a nonlinear singular integro‐differential equation of Prandtl's type, is considered. A collocation method for solution is treated and the convergence of the approximated solution to the unique solution of the nonlinear integral equation is proved.