Results 11 to 20 of about 4,481,393 (334)

Solving one pseudo-Volterra integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova   +4 more
doaj   +1 more source

Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]

open access: yesMathematics and Computational Sciences, 2020
In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
doaj   +1 more source

Solving a nonhomogeneous integral equation with the variable lower limit

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova   +3 more
doaj   +1 more source

Application of DRBEM for 2D sine-Gordon equation

open access: yesJournal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj   +1 more source

A new integral equation formalism for the polarizable continuum model: Theoretical background and applications to isotropic and anisotropic dielectrics

open access: yes, 1997
We present a new integral equation formulation of the polarizable continuum model (PCM) which allows one to treat in a single approach dielectrics of different nature: standard isotropic liquids, intrinsically anisotropic medialike liquid crystals and ...
É. Cancès, B. Mennucci, J. Tomasi
semanticscholar   +1 more source

On a pseudo-Volterra nonhomogeneous integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova   +3 more
doaj   +1 more source

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

A Multilevel Iteration Method for Solving a Coupled Integral Equation Model in Image Restoration

open access: yesMathematics, 2020
The problem of out-of-focus image restoration can be modeled as an ill-posed integral equation, which can be regularized as a second kind of equation using the Tikhonov method.
Hongqi Yang, Bing Zhou
doaj   +1 more source

Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

open access: yesDemonstratio Mathematica, 2021
In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj   +1 more source

The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2021
This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on  integral transform (x-coordinate), we expand  integral transform (x ...
Ahmed Jalal, Ahmed Jassim
doaj   +1 more source

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