Results 251 to 260 of about 1,686 (292)

On the Hammerstein Integral Equation with Weakly Singular Kernel

open access: yesOn the Hammerstein Integral Equation with Weakly Singular Kernel
openaire  

Parallel methods for weakly singular Volterra integral equations on GPUs [PDF]

open access: yesApplied Numerical Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dajana Conte, Paternoster B
exaly   +6 more sources

Solution of certain weakly singular integral equations [PDF]

open access: yesIMA Journal of Applied Mathematics, 2006
Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of higher-order (or strong) singularities, like the Cauchy type singularity in the representation of the solutions of such integral equations.
Chakrabarti, A
openaire   +2 more sources

Multidimensional Weakly Singular Integral Equations [PDF]

open access: yes, 1993
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory.
Vainikko, Gennadi
openaire   +2 more sources

Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations [PDF]

open access: yesJournal 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, Qing-Hua Ma
exaly   +2 more sources

On a weakly singular Volterra integral equation

CALCOLO, 1981
The need for providing reliable numerical methods for the solution of weakly singular Volterra integral equations of first kind stems from the fact that they are connected to important problems in the theory and applications of stochastic processes. In the first section the above problems and some peculiarities of such equations are briefly sketched ...
Favella, L. F., De Griffi, E. M.
openaire   +3 more sources

Precision and efficiency of an interpolation approach to weakly singular integral equations [PDF]

open access: yesInternational Journal of Numerical Methods for Heat and Fluid Flow
Purpose: This study aims to discuss the numerical solutions of weakly singular Volterra and Fredholm integral equations, which are used to model the problems like heat conduction in engineering and the electrostatic potential theory, using the modified ...
Vishnu Narayan Mishra, , Osman Tunc
exaly   +2 more sources

On the Solution of a Volterra Integral Equation with a Weakly Singular Kernel

SIAM Journal on Mathematical Analysis, 1973
The solution $x(t)$ of the Volterra integral equation of the second kind $x(t) = f_1 (t) + \sqrt t f_2 (t) + \int _0^t g(t,s,x(s))(t - s)^{ - {1 / 2}} ds$ is examined. It is shown that $x(t) = u(t) + \sqrt t v(t)$, where $u(t)$ and $v(t)$ are smooth under appropriate smoothness conditions on $f_1 (t)$, $f_2 (t)$ and $g(t,s,x)$ and satisfy a system of ...
de Hoog, Frank, Weiss, Richard
openaire   +3 more sources

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