Results 41 to 50 of about 234,656 (222)

Unique continuation through hyperplane for higher order parabolic and Schrödinger equations [PDF]

open access: yes, 2017
Consider the higher order parabolic operator and the higher order Schrödinger operator in where m and n are any positive integers. Under certain lower order and regularity assumptions, we prove that if solutions to the linear problems vanish when then ...
Tianxiao Huang
semanticscholar   +1 more source

Space-Time Estimates of Mild Solutions of a Class of Higher-Order Semilinear Parabolic Equations in Lp

open access: yesNonautonomous Dynamical Systems, 2014
We establish the well-posedness of boundary value problems for a family of nonlinear higherorder parabolic equations which comprises some models of epitaxial growth and thin film theory. In order to achieve this result, we provide a unified framework for
Sandjo Albert N., Soh Célestin Wafo
doaj   +1 more source

Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition

open access: yesResults in Applied Mathematics, 2023
The singularly perturbed parabolic convection–diffusion equations with integral boundary conditions and a large negative shift are studied in this paper.
Wondimagegnehu Simon Hailu   +1 more
doaj   +1 more source

Asymptotic behavior of solutions of parabolic equations of higher order [PDF]

open access: yesPacific Journal of Mathematics, 1966
By use of a priori integral estimates like those used in the author and \textit{T. Kuroda} [Nagoya Math. J. 26, 115--120 (1966; Zbl 0143.33302)], it is proved that if a solution of a certain parabolic differential inequality satisfies Dirichlet conditions on the boundary of its domain, and if it decays in time with greater than exponential rapidity ...
openaire   +3 more sources

Multi-level higher order QMC Galerkin discretization for affine parametric operator equations [PDF]

open access: yes, 2014
We develop a convergence analysis of a multi-level algorithm combining higher order quasi-Monte Carlo (QMC) quadratures with general Petrov-Galerkin discretizations of countably affine parametric operator equations of elliptic and parabolic type ...
Dick, Josef   +3 more
core   +1 more source

A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

open access: yesAbstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj   +1 more source

Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems [PDF]

open access: yes, 2006
We derive a posteriori error estimates for fully discrete approximations to solutions of linear parabolic equations. The space discretization uses finite element spaces that are allowed to change in time. Our main tool is an appropriate adaptation of the
Lakkis, Omar, Makridakis, Charalambos
core   +1 more source

Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition

open access: yesAdvances in Difference Equations, 2021
This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango   +6 more
doaj   +1 more source

A novel collocation technique for parabolic partial differential equations

open access: yesAin Shams Engineering Journal, 2022
The present study focuses on an accurate, convergent, stable and efficient method for solving the parabolic Fisher’s type equation with three different cases.
M.J. Huntul   +3 more
doaj   +1 more source

STUDY OF AMMONIA VOLATILIZATION IN SOME NORTHERN IRAQ SOILS [PDF]

open access: yesMesopotamia Journal of Agriculture, 2010
Ammonia volatilization phenomena from urea fertilizer was studied by using three different textures of calcareous soil(loamy sand ,clay loamand clay) from Mosul city – northern Iraq, classified as calciorthids .Urea was added at three rates (100,200 and ...
M. Alobaidi, R. Al-Hamdany, M. Saaid
doaj   +1 more source

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