Results 131 to 140 of about 966 (174)

Relation of Integro-Partial Differential Equations With Delay Effect Based on the Maxwell Equations to the Heaviside and Pocklington Equations

IEEE Transactions on Electromagnetic Compatibility, 2021
We derive the integro-partial differential equations with delay effect based on the Maxwell equations for a two-line system under the thin-wire approximation and the approximation of neglecting the interwire distance in the delay term. We introduce the normal- and common-mode and write the integro-partial differential equations in terms of these two ...
Masayuki Abe   +2 more
exaly   +2 more sources

Analytical and numerical solution techniques for a class of time-fractional integro-partial differential equations

Numerical Algorithms, 2023
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Sandip Maji, Srinivasan Natesan
openaire   +2 more sources

The Cauchy problem for the nonlinear integro-partial differential equation in quantitative sociodynamics

Applied Mathematics and Computation, 2002
The authors derive asymptotic estimates for solutions to the Cauchy problem for the generic (``master'') partial integro-differential equation \[ \partial v(t, x)/\partial t= -w(t, x)v(t,x)+ \int_{v\in D} W(t; x| y) v(t,y)\,dy, \] where \(D\subset\mathbb{R}^2\) is bounded and Lebesgue measurable; the kernel \(W(t;x| y)\) describes the transition rate ...
Minoru Tabata, Nobuoki Eshima
openaire   +2 more sources

Existence and asymptotic results for a system of integro-partial differential equations

Nonlinear Differential Equations and Applications NoDEA, 1996
The paper is concerned with a non-Fourier phase field model of a solidification process expressed by an initial-boundary value problem for a system of integro-partial differential equations with delay. The authors prove the global existence and uniqueness of the solution and investigate the regularity and the asymptotic behavior of the solution as \(t ...
Aizicovici, Sergiu, Barbu, Viorel
openaire   +2 more sources

Numerical integration of a nonlinear, singular integro-partial differential equation

Journal of Computational Physics, 1970
Abstract A method for numerical integration of a nonlinear, singular integro-partial differential equation is presented. The method consists in evaluating the singular integral by a least-squares approximation technique. A predictor-corrector formula is employed to integrat- the ordinary differential equations obtained after the spatial ...
Prasad, K. Krishna, Hering, R. G.
openaire   +2 more sources

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