Results 1 to 10 of about 248 (110)

Numerical Solution of the Cauchy-Type Singular Integral Equation with a Highly Oscillatory Kernel Function [PDF]

Mathematics, 2019
This paper aims to present a Clenshaw–Curtis–Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function. We adduce that the zero case oscillation (k = 0) proposed methodgives more accurate results than the scheme introduced in Dezhbord at el.
null SAIRA, Shuhuang Xiang, Guidong Liu
openaire   +2 more sources

A NEW EFFICIENT METHOD FOR TWO CLASSES OF SINGULAR CONVOLUTION INTEGRAL EQUATIONS OF NON-NORMAL TYPE WITH CAUCHY KERNEL

Journal of Applied Analysis & Computation, 2022
Summary: In this article, our task is to study the existence and Noethericity of solution for two classes of singular convolution integral equations with Cauchy kernels in the non-normal type case. To obtain the conditions of solvability for such equations, we establish regularity theory of solvability.
Sun, Meng, Li, Pingrun, Bai, Songwei
openaire   +1 more source

Inverse Problem for a Mixed Type Integro-Differential Equation with Fractional Order Caputo Operators and Spectral Parameters

Axioms, 2020
The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
doaj   +1 more source

Some classes of singular integral equations of convolution type in the class of exponentially increasing functions

Journal of Inequalities and Applications, 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.
Pingrun Li
doaj   +1 more source

On a class of fractional differential equations for mathematical models of dynamic system with memory

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
Some differential equation with Riemann–Liouville fractional derivatives is considered. The class of these equations are proposed as a model fractional oscillating equation for the description, analysis and investigation of oscillatory processes in ...
Eugeniy Nikolaevitch Ogorodnikov
doaj   +1 more source

Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function

Journal of Computational and Applied Mathematics, 2013
A method based on the Daubechies scale function has been devised to solve numerically a class of second kind integral equations with a Cauchy type kernel. The convergence associated to the method has been established. The method is illustrated with integral equations in this class whose exact solutions are known.
Panja, M.M., Mandal, B.N.
openaire   +1 more source

Solution of a Cauchy type problem for an integral equation of Volterra type with singular kernels, when the roots of the characteristic equations are complex conjugate

BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY. Mathematics. Computer science. Mechanics series
In this paper, we study a two-dimensional Volterra type integral equation with a singularity and a logarithmic singularity for one variable and a strong singularity for another variable. The solution of an integral equation with special kernels in the case when the coefficients of the equation are interconnected is reduced to solving one-dimensional ...
Lutfya Nusratovna Rajabova, Farvariddin Mufazalovich Ahmadov   +1 more
openaire   +1 more source

On the Single Layer Boundary Integral Operator for the Dirac Equation. [PDF]

Complex Anal Oper Theory, 2023
Holzmann M.
europepmc   +1 more source

Hierarchical Wilson-Cowan Models and Connection Matrices. [PDF]

Entropy (Basel), 2023
Zúñiga-Galindo WA, Zambrano-Luna BA.
europepmc   +1 more source

Block-pulse integrodifference equations. [PDF]

J Math Biol, 2023
Gilbertson NM, Kot M.
europepmc   +1 more source