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On Approximate Solutions of Linear and Nonlinear Singular Integral Equations

2019
Singular integral equation theory has broad applications to theoretical and practical investigations in mathematics, mathematical physics, hydrodynamic and elasticity theory. This fact motivated many researchers to work on this field and their studies have showed that finding approximate solutions of linear and nonlinear singular integral equations in ...
Nizami Mustafa, Veysel Nezir
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Solution of nonlinear elliptic equations with boundary singularities by an integral equation method

Journal of Computational Physics, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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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Analytical and computational methods for a class of nonlinear singular integral equations

Applied Numerical Mathematics, 2017
Sonia Seyed Allaei   +2 more
exaly  

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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Nonlinear singular integral equations in elastodynamics by using Hilbert transformations

Nonlinear Analysis: Real World Applications, 2005
E G Ladopoulos
exaly  

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind

International Journal of Computer Mathematics, 2011
Huilei Han, Xiaoming He, Tao Lu
exaly  

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