Results 111 to 120 of about 148,162,886 (209)

Application of Legendre Polynomials in Solving Volterra Integral Equations of the Second Kind

, 2020
A nu merical method is presented in this paper to solve linear Vo lterra integral equations of the second kind. In this proposed method, orthogonal Legendre polynomials are employed to approximate a solution for an unknown function in the Volterra ...
Yucheng Liu
core  

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]

PLoS One, 2023
Amin AZ, Amin AK, Abdelkawy MA, Alluhaybi AA, Hashim I.   +4 more
europepmc   +1 more source

Some Theorems on a Volterra Equation of the Second Kind

, 1971
In this paper we state and prove three theorems on positive solutions of a Volterra equation of the second kind. The equation considered is1where K(x, t) is a Volterra type kernel, that is, K(x, t) = 0 for t > x.
D. E. Thompson
core   +1 more source

On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
doaj  

Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral. [PDF]

J Appl Math Comput, 2022
Moumen Bekkouche M, Mansouri I, Ahmed AAA.   +2 more
europepmc   +1 more source

Solution Of Linear Volterra – Stieltjes Integral Equation Of The Second Kind Using Generalized Midpoint Rule

MANAS: Journal of Engineering, 2016
In this study, the numerical solution of linear Volterra – Stieltjes equations of the second kind by using the generalized midpoint rule is established and investigated. The conditions on estimation of the error are determined and proved.
A. Asanov, E. Hazar, M. Abdujabbarov
doaj  

Existence of solutions to non-local problems for parabolic-hyperbolic equations with three lines of type changing

Electronic Journal of Differential Equations, 2013
In this work, we study a boundary problem with non-local conditions, by relating values of the unknown function with various characteristics. The parabolic-hyperbolic equation with three lines of type changing is equivalently reduced to a system of ...
Erkinjon T. Karimov, Akmal I. Sotvoldiyev   +1 more
doaj  

On the performance of Lucas polynomials on linear and nonlinear Volterra integral equations of the second kind [PDF]

Songklanakarin Journal of Science and Technology (SJST)
In this article, we consider Lucas series for 𝑁 = 2, 5, 6 in numerical solutions of linear and nonlinear Volterra integral equations of the second kind. The series is used to transform the equation into a system of nonlinear algebraic equations, and the
Kamoh Nathaniel Mahwash, Joshua Sunday, Comfort Mrumun Soomiyol   +2 more
doaj  

A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source