Results 281 to 290 of about 135,615 (350)

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

International Journal of Adaptive Control and Signal Processing, 2022
The problem of hybrid‐driven fuzzy filtering for nonlinear semi‐linear parabolic partial differential equation systems with dual cyber attacks is investigated.
Zhen Zhang, Xiaona Song, Xiangliang Sun, V. Stojanovic   +3 more
semanticscholar   +1 more source

Spatiotemporal adaptive state feedback control of a linear parabolic partial differential equation

International Journal of Robust and Nonlinear Control, 2023
This article deals with the issue of asymptotic stabilization for a linear parabolic partial differential equation (PDE) with an unknown space‐varying reaction coefficient and multiple local piecewise uniform control.
Jun‐Wei Wang, Jun‐min Wang
semanticscholar   +1 more source

Parabolic Partial Differential Equations [PDF]

, 1997
In Chapter 2, Section 2.2, we showed how one can start with a transition probability function P(s, x; t, ·) and end up with a Markov process. The problem is: where does P(s, x; t, ·) come from? The example we gave there, namely: $$ P(s,x;t,\Gamma ) = \int\limits_\Gamma {g_d } \left( {t - s,y - x} \right)dy $$ (11) is a natural one from the ...
Daniel W. Stroock, Srinivasa R. S. Varadhan   +1 more
openaire   +1 more source

A second order numerical method for singularly perturbed delay parabolic partial differential equation

Engineering computations, 2019
Purpose The purpose of this paper is to provide a robust second-order numerical scheme for singularly perturbed delay parabolic convection–diffusion initial boundary value problem.
L. Govindarao, J. Mohapatra
semanticscholar   +1 more source

Darboux transformations and linear parabolic partial differential equations [PDF]

Journal of Physics A: Mathematical and General, 2002
Solutions for a class of linear parabolic partial differential equation are provided. These solutions are obtained by first solving a system of (n + 1) nonlinear partial differential equations. This system arises as the coefficients of a Darboux transformation and is equivalent to a matrix Burgers' equation.
Daniel J. Arrigo, Fred Hickling
openaire   +2 more sources

A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

, 2014
In this paper, a fitted Numerov method is constructed for a class of singularly perturbed one-dimensional parabolic partial differential equations with a small negative shift in the temporal variable. Similar boundary value problems are associated with a
R. Nageshwar Rao and P. Pramod Chakravarthy
semanticscholar   +1 more source

A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation

, 1989
A finite-difference solution is demonstrated for an inverse problem of determining a control function p(t) in the parabolic partial differential equation ut=uxx+pu+f(x,t ...
Shin-Hwa Wang, Yanping Lin
semanticscholar   +1 more source

Higher order difference formulas for a fourth order parabolic partial differential equation

, 1976
In this paper, we have derived some new higher order difference formulas for the solution of a fourth order parabolic partial differential equation governing transverse vibrations of a uniform flexible beam in one and two space dimensions using Richtmyer'
M. K. Jain, S. Iyengar, A. G. Lone
semanticscholar   +1 more source

A fourth order difference method for the one‐dimensional general quasilinear parabolic partial differential equation

, 1990
A two-level implicit difference scheme using three spatial grid points of Crandall form of O(k2 + kh2 + h4) is obtained for solving the one-dimensional quasilinear parabolic partial differential equation, uxx = f(x, t, u, ut, ux) with Dirichlet boundary ...
M. K. Jain, R. K. Jain, R. K. Mohanty
semanticscholar   +1 more source

Partial differential equations II — parabolic equations [PDF]

, 1986
The simplest parabolic differential equation is (6.3) or, as we normally meet it, (6.3a): $$\frac{{\partial u}}{{\partial t}} = a\frac{{{\partial ^2}u}}{{\partial {x^2}}}$$ (7.1) in which u is given as a function of a space variable x and of time t, and in which the coefficient a is a constant.
openaire   +1 more source