time dependent parabolic equations
A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time Dependent Coefficient
... In 8, the authors used the quasi-reversibility method to regularize a 1D linear nonhomogeneous backward problem. Very recently, in 9, the methods of integral equations and of Fourier transform have been used to ...
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Parallel in space time, adaptive finite element framework for non linear parabolic equations
... nonlinear time dependent problems that is especially tailored for massively parallel ...parallel-in-space- time finite element solver coupled with a posteriori space-time error estimates and a ...
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Duality based two level error estimation for time dependent PDEs: application to linear and nonlinear parabolic equations
... To carry out the first step, Ref. [13] (see also [44, 29, 14]) advocate the use of the backward-in-time (linearized) dual problem. This dual problem acts as an auxiliary prob- lem to quickly set up an exact error ...
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Estimation of time dependent parameters in general parabolic evolution systems
... 1. Introduction. Many important scientic problems require the estimation of pa- rameters in distributed or partial dierential equations. These inverse or parameter identication problems arise in several contexts, ...
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Desorption Kinetics of Heavy Metals (Lead, Zinc, and Nickel) Coexisted with Phenanthrene from a Natural High Buffering Soil
... competitive time-dependent desorption rate of heavy metals (lead, zinc, nickel) coexisting with phenanthrene from natural high buffering ...contaminants’ time-dependent desorption data was ...
10
Convergence of an Exponential Runge–Kutta Method for Non-smooth Initial Data
... Abstract. The paper presents error bounds for the second order exponential Runge-Kutta method for parabolic abstract linear time-dependent differential equations incorporating non-smooth ...
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Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two Dimensional in a Rectangular Domain
... the time-dependent thermal diffusivity and the temperature distribution in a parabolic equation in the case of nonlocal boundary conditions containing a real parameter and integral overdetermination ...
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Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... There is an abounding literature dealing with blow-up phenomena of solutions to parabolic partial differential equations. We refer the interested readers to [3-5]. A variety of physical, chemical, ...
6
On the time dependent parabolic wave equation
... the time and coordi- nate transformations yields γ = γ(t, r ) and σ = σ (t, r ...frequency equations, an integration along the trajectories determines the ...
9
Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients
... single parabolic equation in the linear diffusion case (m = ) has been ...degenerate parabolic equations and system in [–] and the references ...
12
EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... (3) By using tanh-coth method. These equations discussed by wazwaz[1] when .This paper is arranged as follows: In Section 2, we present concepts that make the chain rule is valid for fractional derivatives. In ...
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Periodic solutions of nonlinear finite difference systems with time delays
... of parabolic boundary value ...of equations with specific reaction functions ...for parabolic initial boundary value problem with time delay [5,6,7] and without time delay [1,2,4,10] is ...
8
Optimization with the time-dependent Navier-Stokes equations as constraints
... The paper is organized as follows. In Section 2, we will briefly review some theory in optimal control of the Navier-Stokes equations. Section 3 gives details of the op- timization method applied for the optimal ...
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Parabolic equations with continuous initial data
... These results mean that when we approximate continuous initial data by smooth initial data, a solution will exist for the approximate initial data. In the later parts of the chapter, we use the gradient estimate ...
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Nonlocal Symmetries for Time-Dependent Order Differential Equations
... of time-dependent order of differentiation from the fun- damental physical necessity of explaining complex ...differential equations) is still in its stage of infancy, and a lot of caution should be ...
10
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic parabolic equations
... By reducing B to be a linear and bounded operator in H, the resulting initial value problem for 1.1 has been treated by Bensoussan, Lions, and Papanicolau [2], who stated the existence a[r] ...
14
Identification of the pollution source of a parabolic equation with the time dependent heat conduction
... Many authors considered the uniqueness and stability conditions of the determination of the heat source under this separate form. In spite of the uniqueness and stability results, the regularization problem for unstable ...
15
Schrodinge
... • Revision: differential equations and complex numbers •The time-dependent Schrödinger equation.. Free particle.[r] ...
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A Fast Explicit FETD Method Based on Compressed Sensing
... Abstract—Linear equations must be solved at each time step as the explicit finite element time-domain (FETD) method is used to solve time dependent Maxwell curl equations, which ...
7
Multi-Rate Runge-Kutta-Chebyshev Time Stepping for Parabolic Equations on Adaptively Refined Meshes
... in time on the right end values of the two stages of level 0, and obtain the ghost cell value for level 1 in Figure ...complete time step in Figure ...computational time, or the number of evaluations ...
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