Results 191 to 200 of about 19,436 (230)
Some of the next articles are maybe not open access.
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 +3 more
openaire +1 more source
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 +3 more
openaire +1 more source
Energy Inequalities for Integro-Partial Differential Equations with Riemann–Liouville Integrals
SIAM Journal on Mathematical Analysis, 1992Integro-differential equations with Riemann-Liouville integrals are studied. These equations interpolate between the heat and the wave equation. The author derives energy inequalities. The proofs depend on Fourier analysis and probability methods.
openaire +1 more source
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
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
An integro-partial differential equation for modeling biofluids flow in fractured biomaterials
Journal of Theoretical Biology, 2011A novel mathematical model in the framework of a nonlinear integro-partial differential equation governing biofluids flow in fractured biomaterials is proposed, solved, verified, and evaluated. A semi-analytical solution is derived for the equation, verified by a mass-lumped Galerkin finite element method (FEM), and calibrated with two in vitro ...
openaire +2 more sources
Numerical Methods for Partial Differential Equations, 2020
AbstractThe main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro‐partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used.
Afshin Babaei +2 more
openaire +1 more source
AbstractThe main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro‐partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used.
Afshin Babaei +2 more
openaire +1 more source
Approximation Results for Volterra Integro-Partial Differential Equations
1980A nonlinear parabolic Volterra integrodifferential equation with infinite delay, of relevance in population theory, is considered. Under a suitable spectral condition, approximation results are given for solutions near to equilibria in an appropriate function space.
openaire +2 more sources
Initial boundary value problems for a class of nonlinear integro-partial differential equations
Applied Mathematics and Mechanics, 1994The authors study the global existence of classical solutions of a certain problem which occurs in the theory of nonlinear vibrations of finite rods with nonlinear viscoelasticity. This phenomenon is described by an initial-boundary value problem (with the boundary conditions \(u(t,a) = 0\), \(u(t,b) = 0\), for all \(t)\) for the integro-partial ...
Cui, Shangbin, Qu, Changzheng
openaire +1 more source
2022
This article provides an effective computational algorithm based on Legendre wavelet (LW) and standard tau approach to approximate the solution of multi-dimensional distributed order time-space fractional weakly singular integro-partial differential equation (DOT-SFWSIPDE).
Yashveer Kumar +3 more
openaire +1 more source
This article provides an effective computational algorithm based on Legendre wavelet (LW) and standard tau approach to approximate the solution of multi-dimensional distributed order time-space fractional weakly singular integro-partial differential equation (DOT-SFWSIPDE).
Yashveer Kumar +3 more
openaire +1 more source
Iranian Journal of Science and Technology, Transactions A: Science, 2018
We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations.
Nasibeh Mollahasani +2 more
openaire +1 more source
We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations.
Nasibeh Mollahasani +2 more
openaire +1 more source
Initial value problems for a class of nonlinear integro-partial differential equations
Applied Mathematics and Mechanics, 1999Under certain regularity conditions on the coefficients, it is shown that the initial-value problem \[ \begin{cases} u_{tt}-au_{xxt}-p(u_x)_x-\int_0^t\lambda(t-s)q(u_x)_x ds=f(x,t),\\ \left.u\right|_{t=0}=\varphi(x),\;\left.u_t\right|_{t=0}=\psi(x),\end{cases} \] where \(x\in{\mathbb R}\) and \(t>0\), has a global classical solution. The proof is based
openaire +1 more source