On Approximate Solutions of Linear and Nonlinear Singular Integral Equations
2019Singular 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, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical Evaluation Methods for Nonlinear Singular Integral Equations
2000Non-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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A Chaotic Phenomenon in Discrete Equations of Nonlinear Singular Integral Equations
Advances in Applied Mathematics, 2022openaire +1 more source
Solution of a nonlinear singular integral equation with quadratic nonlinearity
Ukrainian Mathematical Journal, 2004openaire +1 more source
Analytical and computational methods for a class of nonlinear singular integral equations
Applied Numerical Mathematics, 2017Sonia Seyed Allaei +2 more
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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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Nonlinear singular integral equations in elastodynamics by using Hilbert transformations
Nonlinear Analysis: Real World Applications, 2005E G Ladopoulos
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A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
Symmetry, 2020Sanda Micula
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