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Quadrature solution methods for nonlinear singular integral equations

Russian Mathematics, 2007
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Solution of nonlinear elliptic equations with boundary singularities by an integral equation method

Journal of Computational Physics, 1984
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Numerical Evaluation Methods for Nonlinear Singular Integral Equations

2000
Non-linear singular integral equations are widely used and connected with applications in several field of engineering mechanics like structural analysis, fluid mechanics and aerodynamics. This leads to the necessity to derive solutions for the non-linear singular integral equations arising in applications, by using some approximate and constructive ...
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On a nonlinear integral equation with a finite number of fixed singularities. II

1990
[For part I see ibid. 28, No. 1, 250-260 (1988; Zbl 0675.45004).] The following equation is investigated: \[ u(x)=\lambda \int^ b_ a {K \bigl( x,s,u(s) \bigr) \over (s-s_ 1)(s-s_ 2) \cdots (s-s_ m)}ds. \]
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Analytical and computational methods for a class of nonlinear singular integral equations

Applied Numerical Mathematics, 2017
TERESA Diogo   +2 more
exaly  

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