Results 11 to 20 of about 59,206 (285)
ERRORS AND GRIDS FOR PROJECTED WEAKLY SINGULAR INTEGRAL EQUATIONS [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Summary: In the solution of weakly singular Fredholm integral equations of the second kind defined on the space of Lebesgue integrable complex valued functions by projection methods, the choice of the grid is crucial. We will present the proof of an error bound in terms of the mesh size of the underlying discretization grid on which no regularity ...
d'Almeida, Filomena, D. +2 more
openaire +3 more sources
A new technical for solving a weakly singular integro-differential equations
Journal of Taibah University for Science, 2017 In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations.
Mostefa Nadir
doaj +1 more source
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.
openaire +3 more sources
Fast solvers of weakly singular integral equations of the second kind
Mathematical Modelling and Analysis, 2018 We discuss the bounds of fast solving weakly singular Fredholm integral equations of the second kind with a possible diagonal singularity of the kernel and certain boundary singularities of the derivatives of the free term when the information about the ...
Sumaira Rehman +2 more
doaj +1 more source
Singularity Preserving Galerkin Methods for Weakly Singular Fredholm Integral Equations
Journal of Integral Equations and Applications, 1994 A singularity preserving projection approximation for the solution of the equation \(y(s) - \int^ 1_ 0 k(s,t) y(t)dt = f(x)\), \(0 \leq s \leq 1\), having an optimal order of convergence, is presented and a numerical example is given to illustrate the numerical accuracy of the current method in comparison with the conventional Galerkin method.
Cao, Yanzhao, Xu, Yuesheng
openaire +2 more sources
PRODUCT INTEGRATION FOR WEAKLY SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS
Mathematical Modelling and Analysis, 2011 On the basis of product integration techniques a discrete version of a piecewise polynomial collocation method for the numerical solution of initial or boundary value problems of linear Fredholm integro-differential equations with weakly singular kernels is constructed.
Pedas, Arvet, Tamme, Enn
openaire +4 more sources
Adaptive BEM with optimal convergence rates for the Helmholtz equation [PDF]
, 2018 We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is steered by a residual error estimator and does not rely on any a priori ...
Bespalov, Alex +3 more
core +3 more sources
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
doaj +1 more source
Alexandria Engineering Journal, 2018 The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
doaj +1 more source
Some weakly singular Volterra integral inequalities with maxima in two variables
Journal of Inequalities and Applications, 2023 In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
doaj +1 more source