Results 21 to 30 of about 1,588 (293)
Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
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International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Kuwait Journal of Science, 2016 In this study, a Galerkin-like approach is applied to numerically solve high-orderintegro-differential equations having weakly singular kernel. The method includestaking inner product of a set of monomials with a vector obtained from the equationin ...
Şuayip Yüzbaşı, Murat Karaçayır
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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The Szegő kernel as a singular integral kernel on a family of weakly pseudoconvex domains [PDF]
Transactions of the American Mathematical Society, 1987 The Szegö kernels on the weakly pseudoconvex domains { Im
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Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Mathematical Analysis, 1971 Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
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A Regularization of Fredholm type singular integral equations
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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On multi-singular integral equations involving n weakly singular kernels
Filomat, 2018 We deal with some sources of Banach spaces which are closely related to an important issue in applied mathematics i.e. the problem of existence and uniqueness of the solution for the very applicable weakly singular integral equations. In the classical mode, the uniform space (C[a,b], ||.||?) is usually applied to the related discussion ...
Sales, S. M. S. Nabavi, Baghani, O.
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A finite element method for time fractional partial differential equations [PDF]
, 2011 This is the authors' PDF version of an article published in Fractional calculus and applied analysis© 2011. The original publication is available at www.springerlink.comThis article considers the finite element method for time fractional differential ...
Yan, Yubin +5 more
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analysis of Product Integration Methods for a Class of Singular Volterra Integral Equations
Trends in Computational and Applied Mathematics, 2000 The construction and analysis of high order numerical methods for Volterra integral equations with a certain weakly singular kernel have been investigated in [6], under the assumption the the solution is sufficiently smooth.
T. Diogo, P. Lima, N.B. Franco
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