Results 21 to 30 of about 953 (219)

Monotone economical schemes for quasilinear parabolic equations

Mathematical Modelling and Analysis, 2002
In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed.
N. V. Dzenisenko, A. P. Matus, P. P. Matus   +2 more
doaj   +4 more sources

Finite-difference method for the Gamma equation on non-uniform grids

Vietnam Journal of Science, Technology and Engineering, 2022
We propose a new monotone finite-difference scheme for the second-order local approximation on a nonuniform grid that approximates the Dirichlet initial boundary value problem (IBVP) for the quasi-linear convection-diffusion equation with unbounded ...
Le Minh Hieu, Truong Thi Hieu Hanh, Dang Ngoc Hoang Thanh   +2 more
doaj   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

Boundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space [PDF]

, 1989
summary:The Rothe-Galerkin method is used for discretization. The rate of convergence in $C(I, L_p(G))$ for the approximate solution of a quasilinear parabolic equation with a Volterra operator on the right-hand side is ...
Slodička, Marián
core   +1 more source

Smooth Solutions of systems of quasilinear parabolic equations [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2002
Diagonal quasilinear parabolic systems arising in the context of stochastic differential games are considered: \[ \partial_t u^k- (a_{ij}(x,t)u^k_{x_j})_{x_i} = H^k(x,t,u,\nabla u) , \] where the Hamiltonians \(H^k\) have quadratic growth in \(\nabla u\). Uniform ellipticity of \(a_{ij}\) and special structure conditions \[ | H^k(x,t,u,p)| \leq C | p^k|
Bensoussan, Alain, Frehse, Jens
openaire   +2 more sources

Filtration in cohesive soils: numerical approach

Computer Assisted Methods in Engineering and Science, 2023
Paper presents a numerical method for solving the initial boundary-value problem for a certain quasilinear parabolic equation describing the low velocity filtration problem. The convergence of the method is proved.
Robert Schaefer, Stanislaw Sędziwy
doaj  

Uniform Bounds for Solutions to Quasilinear Parabolic Equations

Journal of Differential Equations, 2001
The authors consider a class of quasilinear parabolic equations on a domain \(D \subset \mathbb{R}^d\) of finite Lebesgue measure in the form \[ u_t(t,x) = \text{div\,} a(t,x,u(t,x), \nabla u(t,x)); \quad t \in (0,\infty),\;x \in D. \] where \(a : (0,\infty)\times D \times \mathbb{R} \times \mathbb{R}^d \to \mathbb{R}^d\) is a Carathéodory function ...
CIPRIANI, FABIO EUGENIO GIOVANNI, GRILLO, GABRIELE   +1 more
openaire   +3 more sources

On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, 2003
This paper deals with weak solution in weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly,
Abdelfatah Bouziani
doaj   +1 more source

Stochastic PDEs with multiscale structure [PDF]

, 2012
We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer, Hairer, Martin, Kelly, David (David T. B.), David Kelly   +3 more
core   +1 more source

Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

Journal of Optimization, Differential Equations and Their Applications, 2023
In this work, we study a sparse optimal control problem involving a quasilinear parabolic equation with variable order of nonlinearity as a state equation and with a pointwise control constraints.
Ciro D’Apice, Peter Kogut, Rosanna Manzo   +2 more
doaj   +1 more source