Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation. [PDF]
Wei Y, Chen Y, Shi X, Zhang Y.
europepmc +1 more source
The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova +4 more
doaj
The Numerical Solution of Volterra Integral Equations
Recently we studied a collocation–quadrature method in weighted L2 spaces as well as in the space of continuous functions for a Volterra-like integral equation of the form u(x)−∫αx1h(x−αy)u(y)dy=f(x),0<x<1, where h(x) (with a possible singularity at x=0) and f(x) are given (in general complex-valued) functions, and α∈(0,1) is a fixed parameter ...
openaire +1 more source
We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.
Bozor Islomov, Umida I. Baltaeva
doaj
Asymptotically periodic solutions of Volterra integral equations
We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay.
Muhammad N. Islam
doaj
A highly accurate Hermite polynomial-based least-squares approach for solving fractional Volterra-Fredholm integro-differential equations. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
europepmc +1 more source
A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
europepmc +1 more source
MIMO Volterra kernel recovery in the frequency domain using neural networks. [PDF]
Preston OHL, Rogers TJ, Worden K.
europepmc +1 more source
Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics. [PDF]
Alomari FAH, Bahaa GM.
europepmc +1 more source

