Results 101 to 110 of about 204,395 (232)

Numerical Modeling of Inertial Particles in Three‐Dimensional Fluid Flow

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The motion of inertial particles in a fluid is modeled by the Maxey–Riley–Gatignol equation (MaRGE). The MaRGE contains an integral term that arises due to the viscous diffusion of vorticity in the fluid around the particle. Because it makes MaRGE difficult to solve numerically, the integral term is often neglected or approximated, despite its
Vamika Rathi, Daniel Ruprecht
wiley   +1 more source

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
core   +1 more source

Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series

مجلة بغداد للعلوم, 2004
Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential.
Muna M. Mustafa
doaj   +1 more source

Laplace Adomian decomposition method for integro differential equations on time scale

Ain Shams Engineering Journal
The aim of this work is to probe the Laplace Adomian decomposition method (LADM) for some certain linear and non-linear integro-differential equations on an arbitrary time scales. Although, several researchers have treated integro-differential equations (
Shafiq Hussain, Feroz Khan
doaj   +1 more source

Singular perturbations of integro-differential equations

Applied Mathematics and Computation, 2006
The paper deals with the integro-differential equation: \[ \epsilon^2 u_{\epsilon}''(t) + u_{\epsilon}'(t) = A u_{\epsilon}(t) + \int_0^t K(t-s)Au_{\epsilon}(s)ds + f_{\epsilon}(t),\;\;\; t\geq 0,\; \epsilon >0, \] in a Banach space, where \(A\) is the generator of a strongly continuous cosine family and \(K\) is a real-valued function.
Carlos Lizama, Humberto Prado
openaire   +4 more sources

Reachability problems for a class of integro-differential equations [PDF]

, 2010
We study control problems for some integro-differential equations using the Hilbert Uniqueness Method. To do that we follow a harmonic analysis approach. Our results can be applied to concrete examples in viscoelasticity theory.
SFORZA, Daniela, LORETI, Paola, Paola Loreti, Daniela Sforza   +3 more
core   +1 more source

Bounded and multiperiodic solutions of the system of partial integro-differential equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova, Zh.A. Sartabanov, G.A. Abdikalikova , A. Kerimbekov   +3 more
doaj   +1 more source

Numerical Approach of Linear Volterra Integro-Differential Equations Using Generalized Spline Functions

مجلة بغداد للعلوم, 2012
This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro ...
Baghdad Science Journal
doaj   +1 more source

Regularity results for nonlocal fully nonlinear elliptic equations [PDF]

, 2013
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core   +1 more source

Solutions for Hilfer-Type Linear Fractional Integro-Differential Equations with a Variable Coefficient

Fractal and Fractional
In this paper, we derive an explicit formula of solutions to Hilfer linear fractional integro-differential equations with a variable coefficient in a weighted space, and obtain the existence and uniqueness of solutions for fractional kinetic equations ...
Sigang Zhu, Huiwen Wang, Fang Li
doaj   +1 more source