Results 1 to 10 of about 3,460 (248)
Finite-part singular integral approximations in Hilbert spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos +2 more
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Two‐grid iteration method for weakly singular integral equations [PDF]
Mathematical Modelling and Analysis, 2000 For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems.
K. Hakk
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Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
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Mathematics, 2021 Controlled dynamic systems with an entropy operator (DSEO) are considered. Mathematical models of such systems were used to study the dynamic properties in demo-economic systems, the spatiotemporal evolution of traffic flows, recurrent procedures for ...
Yuri S. Popkov
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Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials
Archives of Mechanics, 2021 In the present paper the coupled linear theory of double-porosity viscoelastic materials is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated.
M.M. Svanadze
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Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the
S. Ahdiaghdam, S. Shahmorad
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Известия Иркутского государственного университета: Серия "Математика", 2017 This paper is dedicated to the 110th anniversary of the dean of the mathematical faculty of Irkutsk State University Vladimir Vladimirovich Vasiliev.
M. V. Bulatov, V. F. Chistyakov
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Advances in Difference Equations, 2017 In this paper, an effective numerical method to solve the Cauchy type singular Fredholm integral equations (CSFIEs) of the first kind is proposed. The collocation technique based on Bernstein polynomials is used for approximation the solution of various ...
Ali Seifi +3 more
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The volume integral equation method in magnetostatic problem
Discrete and Continuous Models and Applied Computational Science, 2019 This article addresses the issues of volume integral equation method application to magnetic system calculations. The main advantage of this approach is that in this case finding the solution of equations is reduced to the area filled with ferromagnetic.
Pavel G Akishin, Andrey A Sapozhnikov
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On Bernstein Polynomials Method to the System of Abel Integral Equations
Abstract and Applied Analysis, 2014 This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the
A. Jafarian +3 more
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