Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions

M Kirane, NE Tatar - Siberian Mathematical Journal, 2007 - Springer
This paper presents extensions of some nonexistence results for elliptic systems with
dynamical boundary conditions involving the time-derivatives of integer orders to the case of …

Numerical solution of the heat equation in unbounded domains using quasi-uniform grids

MN Koleva - International Conference on Large-Scale Scientific …, 2005 - Springer
Numerical solutions of the heat equation on the semi-infinite interval in one dimension and
on a strip in two dimensions with nonlinear boundary conditions are investigated. At the …

[PDF][PDF] A method based on Legendre pseudo-spectral approximations for solving inverse problems of parabolic types equations

MA Abdelkawy, EA Ahmed, P Sanchez - Math. Sci. Lett, 2015 - naturalspublishing.com
This paper reports a new Legendre Gauss-Lobatto collocation (SL-GL-C) method to solve
numerically two inverse problems of parabolic partial differential types equations subject to …

[HTML][HTML] Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type

M Koleva, L Vulkov - Journal of computational and applied mathematics, 2007 - Elsevier
In this paper we present existence of blow-up solutions for elliptic equations with semilinear
boundary conditions that can be posed on all domain boundary as well as only on a part of …

Numerical solution of the heat equation with nonlinear boundary conditions in unbounded domains

M Koleva, L Vulkov - Numerical Methods for Partial Differential …, 2007 - Wiley Online Library
The numerical solution of the heat equation in unbounded domains (for a 1D problem‐semi‐
infinite line and for a 2D one semi‐infinite strip) is considered. The artificial boundaries are …

Comparison of a rothe-two grig method and other numerical schemes for solving semilinear parabolic equations

MN Koleva - Numerical Analysis and Its Applications: Third …, 2005 - Springer
A technique combined the Rothe method with two-grid (coarse and fine) algorithm of Xu [18]
for computation of numerical solutions of nonlinear parabolic problems with various …

Efficient spectral collocation algorithm for solving parabolic inverse problems

AH Bhrawy, MA Abdelkawy - International Journal of Computational …, 2016 - World Scientific
This paper reports a new Legendre–Gauss–Lobatto collocation (SL-GL-C) method to solve
numerically two partial parabolic inverse problems subject to initial-boundary conditions …

[PDF][PDF] A differential-integral transform method for solving the 1-d heat diffusion equation

C Liu, W Zhong, H Ren, B Wu, T Xia - Thermal Science, 2017 - doiserbia.nb.rs
A DIFFERENTIAL-INTEGRAL TRANSFORM METHOD FOR SOLVING THE 1-D HEAT
DIFFUSION EQUATION Page 1 Liu, C., et al.: A Differential-Integral Transform Method for …

[PDF][PDF] Shifted Chebyshev-Tau method for solving an inverse time-dependent source problem

S Akbarpour, A Shidfar, HS Najafi - Applied Mathematical and …, 2017 - mililink.com
In this article, a numerical method for solving parabolic inverse problem with an unknown
time-dependent source parameter is considered. This method is based upon Chebyshev …

Отсутствие локальных и глобальных решений эллиптических систем с дробными по времени динамическими краевыми условиями

М Киране, Н Татар - Сибирский математический журнал, 2007 - mathnet.ru
Обобщены некоторые результаты о несуществовании для эллиптических систем с
динамическими краевыми условиями, включающими производные по времени целого …