Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
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Projection methods for integral equations in epidemic
Mathematical Modelling and Analysis, 2002 In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic.
L. Hacia
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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks [PDF]
, 2010 This is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-BlackwellSegregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and ...
S.E. Mikhailov +5 more
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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]
مجلة التربية والعلم, 2023 Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]
, 2012 This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Numerical methods for differential equations solving is a topical problem in applied mathematics. The article is devoted to the numerical-analytical methods of the second and third order of accuracy, based on the approximation of nonlinear ...
O.E. Yaremko, N.N. Yaremko
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On numerical methods for solving hypersingular integral equations on infinite line
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov +2 more
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An integral equation–based numerical method for the forced heat equation on complex domains [PDF]
Advances in Computational Mathematics, 2020 AbstractIntegral equation–based numerical methods are directly applicable to homogeneous elliptic PDEs and offer the ability to solve these with high accuracy and speed on complex domains. In this paper, such a method is extended to the heat equation with inhomogeneous source terms.
Fredrik Fryklund +2 more
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