Results 231 to 240 of about 2,525 (268)

Nonlinear Singular Integral Equations

2011
Abel’s integral equation, linear or nonlinear, occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Linear Abel’s integral equation is the earliest example of an integral equation.
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Quadrature solution methods for nonlinear singular integral equations

Russian Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Newton–Kantorovich approximations to nonlinear singular integral equation with shift

Applied Mathematics and Computation, 2011
The paper is concerned with the applicability of some new conditions for the convergence of Newton-Kantorovich approximations to solution of nonlinear singular integral equations of Uryson type with shift. The results are illustrated in generalized Holder space.
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Some Classes of Nonlinear Mixed Volterra and Singular Integral Equations

Zeitschrift für Analysis und ihre Anwendungen, 1992
Existence theorems for some classes of nonlinear mixed Volterra and singular integral or integro-differential equations are proved applying methods of monotone operator theory and Schauder’s fixed point theorem, respectively. Moreover, uniqueness theorems for the solution are given.
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System of nonlinear Volterra’s integral equations with polar kernel and singularities

Nonlinear Analysis: Theory, Methods & Applications, 2007
Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel.
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Fast Iterative Methods for Solving of Boundary Nonlinear Integral Equations with Singularity

Journal of Computational Analysis and Applications, 1999
Summary: A very efficient and fully discrete method for numerical solution of nonlinear boundary integral equations is described. There seems a lack of rigorous numerical analysis because of the singular or hypersingular behavior. In this paper, we suggest variants of methods for obtaining numerical solutions.
Rostami Varnos Fadrani, D., Maleknejad, K.   +1 more
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Projection solution methods for one nonlinear singular integral equation

Russian Mathematics, 2008
In this paper we consider a general projection method for the solution of a nonlinear singular integral equation and its applications in the method of orthogonal polynomials, the subdomains method, and the collocation method.
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Numerical integration of a nonlinear, singular integro-partial differential equation

Journal of Computational Physics, 1970
Abstract A method for numerical integration of a nonlinear, singular integro-partial differential equation is presented. The method consists in evaluating the singular integral by a least-squares approximation technique. A predictor-corrector formula is employed to integrat- the ordinary differential equations obtained after the spatial ...
Prasad, K. Krishna, Hering, R. G.
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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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New methods for solving of nonlinear weakly singular integral equations

Kybernetes, 2006
PurposeAims to present a boundary integral equation method for solving Laplace's equation Δu=0 with nonlinear boundary conditions.Design/methodology/approachThe nonlinear boundary value problem is reformulated as a nonlinear boundary integral equation, with u on the boundary as the solution being sought.
Maleknejad, K., Mesgarani, H.
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