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Inertial Memory Effects in Molecular Transport Across Nanoporous Membranes. [PDF]
Galovic S, Čukić M, Chevizovich D.
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Developing a Gudermannian neural network for solving the Painlevé model-II in the context of nonlinear optics. [PDF]
Faisal S +4 more
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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 ...
Shuji Kitora +2 more
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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 ...
Shuji Kitora +2 more
exaly +2 more sources
Numerical Algorithms, 2023
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Sandip Maji, Srinivasan Natesan
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Sandip Maji, Srinivasan Natesan
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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
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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
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Existence and asymptotic results for a system of integro-partial differential equations
Nonlinear Differential Equations and Applications NoDEA, 1996The 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
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Numerical integration of a nonlinear, singular integro-partial differential equation
Journal of Computational Physics, 1970Abstract 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.
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Mathematics and Computers in Simulation, 2023
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Sandip Maji, Srinivasan Natesan
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandip Maji, Srinivasan Natesan
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Domain decomposition methods for a class of integro-partial differential equations
AIP Conference Proceedings, 2016This paper deals with the construction of Schwarz Waveform Relaxation (SWR) methods for fractional diffusion-wave equations. SWR methods are a class of domain decomposition algorithms to solve evolution problems in parallel and have been mainly developed and analysed for several kinds of PDEs. We first analyse the convergence behaviour of the classical
CONTE, Dajana, CALIFANO, GIOVANNA
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