Results 151 to 160 of about 3,838,910 (187)

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, Kitora Shuji, Souma Jinno
exaly   +2 more sources

Non-Linear Degenerate Integro-Partial Differential Evolution Equations Related to Geometric Lévy Processes and Applications to Backward Stochastic Differential Equations [PDF]

Stochastic and Stochastics Reports, 2004
We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of non-linear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Levy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the “geometric
Anna Lisa Amadori, Kenneth Hvistendahl Karlsen   +1 more
exaly   +4 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   +3 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

Domain decomposition methods for a class of integro-partial differential equations

AIP Conference Proceedings, 2016
This 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
openaire   +2 more sources

Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations

Mathematics and Computers in Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandip Maji, Srinivasan Natesan
openaire   +2 more sources

APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

2010
In this paper, first the properties of one and two-dimensional differential transforms are presented.Next, by using the idea of differential transform, we will present a method to find an approximate solution fora Volterra integro-partial differential equations.
MOHSENI MOGHADAM, M., SAEEDI, H.
openaire   +1 more source

B-Spline Solution of Fractional Integro Partial Differential Equation With a Weakly Singular Kernel

Numerical Methods for Partial Differential Equations, 2017
The main objective of the paper is to find the approximate solution of fractional integro partial differential equation with a weakly singular kernel. Integro partial differential equation (IPDE) appears in the study of viscoelastic phenomena. Cubic B‐spline collocation method is employed for fractional IPDE.
exaly   +3 more sources

Monotone methods and attractivity results for Volterra integro-partial differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
Synopsis A Volterra integro-partial differential equation of parabolic type, which describes the time evolution of a population in a bounded habitat, subject both to past history and space diffusion effects, is investigated; general homogeneous boundary conditions are admissible.
SCHIAFFINO A, TESEI, Alberto
openaire   +2 more sources