Cover Image

A modified projection-iterative method for solution of a singular integral equation with parameters and small nonlinearity

We suggest a modified version of the projection-iterative method of solving a singular integral equation with parameters and small nonlinearity.

Saved in:

Bibliographic Details
Date:	1999
Main Authors:	Polishchuk, О. B., Поліщук, О. Б.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4626
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

A modified projection-iteration method for weakly nonlinear integral-differential equations with parameters
by: O. B. Nesterenko
Published: (2013)

Solution of volterra integral equations of the second kind with small nonlinearities by a spline-iteration method
by: Luchka, A. Y., et al.
Published: (1994)

Iterative method for solving a problem with constraints for singular integral equations
by: O. B. Polishchuk
Published: (2013)

Solution of a nonlinear singular integral equation with quadratic nonlinearity
by: Gun’ko, O. V., et al.
Published: (2004)

To the question of the nonlinear integral equations of modified collocation-iterative method appliance condition solution
by: V. B. Poseliuzhna
Published: (2016)

On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations
by: Askarov, M., et al.
Published: (1995)

A version of the projection-iterative method for the solution of Fredholm integral equations of the second kind
by: V. A. Feruk
Published: (2018)

A version of the projection-iterative method for the solution of Fredholm integral equations of the second kind
by: Feruk, V. A., et al.
Published: (2018)

Iterative solution of a nonlinear static beam equation
by: G. Berikelashvili, et al.
Published: (2020)

Iterative solution of a nonlinear static beam equation
by: Berikelashvili , G., et al.
Published: (2020)

Singularities of Solutions of Singular Integral Equations
by: Il'man, V. M., et al.
Published: (2002)

Singular integral inequalities with several nonlinearities and integral equations with singular kernels
by: Medveď, M.
Published: (2008)

Research of Collocation and Collocation-Iterate Methods for Solution of one Type of Integro-Functional Equations with Small Nonlinearity
by: Геселева, Катерина
Published: (2024)

On revealing singularities in numerical solution of integral equations of the potential theory
by: O. D. Polishchuk
Published: (2014)

A note on iterative solutions of an iterative functional differential equation
by: H. Y. Zhao
Published: (2020)

A note on iterative solutions of an iterative functional differential equation
by: Zhao, H. Y., et al.
Published: (2020)

Methods for the solution of equations with restrictions and the Sokolov projection-iterative method
by: Luchka, A. Y., et al.
Published: (1996)

Collocational and collocation-iterative methods for solving integro-functional equations with small nonlinearity
by: K. H. Heseleva
Published: (2015)

Approximate solution of a dominant singular integral equation with conjugation
by: D. Pylak, et al.
Published: (2021)

Approximate solution of a dominant singular integral equation with conjugation
by: Pylak, D., et al.
Published: (2021)

On modified Picard and Gauss—Weierstrass singular integrals
by: Rempulska, L., et al.
Published: (2005)

On modified Picard and Gauss—Weierstrass singular integrals
by: Rempulska, L., et al.
Published: (2005)

A positive solution of singular impulsive differential equations with nonlinear boundary conditions
by: Weibing Wang, et al.
Published: (2014)

Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity
by: Feng, Bao-Feng, et al.
Published: (2024)

Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method
by: Gabrel', O. M., et al.
Published: (2003)

Integral operators that determine the solution of an iterated hyperbolic-type equation
by: I. M. Aleksandrovych, et al.
Published: (2020)

Weighted limit solution of a nonlinear differential equation at a singular point and its property
by: D. S. Dzhumabaev, et al.
Published: (2017)

Weighted limit solution of a nonlinear differential equation at a singular point and its property
by: Dzhumabaev, D. S., et al.
Published: (2017)

On the optimization of projection-iterative methods for the approximate solution of ill-posed problems
by: Pereverzev, S. V., et al.
Published: (1996)

Removability of an Isolated Singularity of Solutions of Nonlinear Elliptic Equations with Absorption
by: Skrypnik, I. I., et al.
Published: (2005)

An iterative approach for obtaining nonlinear frequency of a conservative oscillator with strong nonlinearities
by: M. Mohammadian, et al.
Published: (2018)

An iterative approach for obtaining nonlinear frequency of a conservative oscillator with strong nonlinearities
by: Mohammadian, M., et al.
Published: (2018)

Stability of Bounded Solutions of Differential Equations with Small Parameter in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2003)

Iterative algorithm for solving nonlinear Volterra integral equations of the second kind in Matlab environment
by: H. O. Kyselova, et al.
Published: (2015)

An approach to solving the singular integral equations with the negative index
by: O. B. Polishchuk
Published: (2014)

Finite element approximations in projection methods for solution of some Fredholm integral equation of the first kind
by: O. Polishchuk
Published: (2018)

The riquier problem for a nonlinear equation unresolved with respect to the Lévy iterated laplacian
by: Feller, M. N., et al.
Published: (1999)

Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian
by: Feller, M. N., et al.
Published: (1998)

Method of Rational Modification of Iterative Algorithms of Numerical Solution in Nonlineary Integral Equations
by: Yu. Protasov, et al.
Published: (2021)

On the Asymptotic Integration of a System of Linear Differential Equations with a Small Parameter in the Coefficients of a Part of Derivatives
by: Samoilenko, A. M., et al.
Published: (2002)