An hp-Local Discontinuous Galerkin method for Parabolic\ud Integro-Differential Equations [PDF]
, 2009 In this article, a priori error analysis is discussed for an hp-local discontinuous Galerkin (LDG) approximation to a parabolic integro-differential equation.
Pani, A. K., Yadav, S
core
ADM for solving linear second-order fredholm integro- differential equation [PDF]
, 2018 In this paper, we apply Adomian Decomposition Method (ADM) as numerically analyse linear second-order Fredholm Integro-differential Equations. The approximate solutions of the problems are calculated by Maple package. Some numerical examples have been
Karim, Mohd F. +11 more
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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
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
Integro-differential Burgers equation: solvability and homogenization [PDF]
, 2010 International audienceWe consider the integro-differential Burgers equation which appears in nonlinear acoustics. The integral term in the right-hand side describes the relaxation (memory) effects.
Panasenko, Grigory, Amosov, Andrey
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Singular integro-differential equations of parabolic type [PDF]
, 2002 We study a linear singular first-order integro-differential Cauchy problems in Banach spaces. Singular here means that the integro differential equation is not in normal form neither can it be reduced to such a form.
A. Favini, H. Tanabe, A. Lorenzi
core
Numerical solution of singular integro-differential equation [PDF]
, 2009 A Teoria das equações integrais, desde a segunda metade do século XX, tem assumido um papel cada vez maior no âmbito de problemas aplicados. Com isso, surge a necessidade do desenvolvimento de métodos numéricos cada vez mais eficazes para a resolução ...
Andre Nagamine, Nagamine, Andre
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation [PDF]
This paper focuses on multi-term fractional order Fredholm integro-differential equation which was transformed to integral equation by using Riemann-Liouville fractional integral.
Umar, Dahiru, Bichi, Sirajo Lawan
core +2 more sources
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Bound Value Probl, 2023 Li C.
europepmc +1 more source