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Some classes of singular integral equations of convolution type in the class of exponentially increasing functions. [PDF]
J Inequal Appl, 2017 In this article, we study some classes of singular integral equations of convolution type with Cauchy kernels in the class of exponentially increasing functions.
Li P.
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Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations. [PDF]
Comput Methods Appl Mech Eng, 2015 We consider the Galerkin boundary element method (BEM) for weakly-singular integral equations of the first-kind in 2D. We analyze some residual-type a posteriori error estimator which provides a lower as well as an upper bound for the unknown Galerkin ...
Feischl M, Gantner G, Praetorius D.
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Solutions for singular Volterra integral equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the ...
Patricia J. Y. Wong
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A Regularization of Fredholm type singular integral equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
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Approximate methods for solving degenerate singular integral equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. Singular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has been studied quite well, but as far as the authors know, there are currently no analytical methods ...
Il'ya V. Boykov, Anastasiya A. Pivkina
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Approximate solution of singular integral equations
Applied Mathematics Letters, 2004 An approximate method is developed for solving singular integral equations of the first kind, over a finite interval. The singularity is assumed to be of the Cauchy type, and the four basically different cases of singular integral equations of practical ...
G Vanden Berghe
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Journal of Mathematical Analysis and Applications, 2008 Some new weakly singular integral inequalities of Gronwall–Bellman type are established, which generalized some known weakly singular inequalities and can be used in the analysis of various problems in the theory of certain classes of differential ...
Josip Pecaric
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, 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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Chebyshev Polynomials for Solving a Class of Singular Integral Equations
Applied Mathematics, 2014 This paper is devoted to studying the approximate solution of singular integral equations by means of Chebyshev polynomials. Some examples are presented to illustrate the method.
S. Dardery, M. Allan
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Two-dimensional singular integral equations exact solutions
Journal of Computational and Applied Mathematics, 1990 Some new theorems are established for the determination of exact solutions of the two-dimensional singular integral equations, used in the theory of elasticity, plasticity and thermoelasticity.
E G Ladopoulos
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