Results 31 to 40 of about 216,818 (306)
Results in Applied Mathematics, 2022 In this work, a numerical method for the singularly perturbed parabolic convection–diffusion turning point problem with Robin boundary condition was developed.
Fasika Wondimu Gelu +1 more
doaj +1 more source
Nonexistence of solutions results for certain fractional differential equations
Mathematical Modelling and Analysis, 2011 This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to nonlinear fractional diffusion equation in space and time with nonlinear convective term. The Fujita exponent is determined.
Mohamed Berbiche
doaj +1 more source
Axioms, 2023 In this paper, some rational high-accuracy compact finite difference schemes on nonuniform grids (NRHOC) are introduced for solving convection–diffusion equations.
Fang Tian, Mingjing Wang, Yongbin Ge
doaj +1 more source
A convection–diffusion problem with a large shift on Durán meshes
Calcolo, 2023 A convection-diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Duran type meshes, as well as on coarser Duran type meshes in places where weak layers appear, is provided. The theoretical results are confirmed by numerical experiments.
Mirjana Brdar +2 more
openaire +2 more sources
OPTIMAL CONTROL OF A CONVECTIVE-DIFFUSIVE FLUID PROBLEM [PDF]
Mathematical Models and Methods in Applied Sciences, 1995 We consider optimal control of a parabolic differential equation, modeling one-dimensional fluid flow through a soil-packed tube in which a contaminant is initially distributed. A fluid is pumped through the tube to remove the contaminant. The convective velocity due to the fluid pumping is the nonlinear control action.
openaire +2 more sources
A New Domain Decomposition Parallel Algorithm for Convection–Diffusion Problem
Mathematical Modelling and Analysis, 2014 Basing on overlapping domain decomposition, we construct a new parallel algorithm combined the method of subspace correction with least-squares procedure for solving time-dependent convection–diffusion problem. This algorithm is fully parallel.
Jiansong Zhang, Danping Yang
doaj +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
wiley +1 more source
Applied Mathematics Letters, 2007 A singularly perturbed convection–diffusion problem posed on the unit square is considered. Its solution may have exponential and parabolic boundary layers, and corner singularities may also be present.
R. B. Kellogg, M. Stynes
semanticscholar +1 more source
Journal of Applied Mathematics, 2018 The disproportionality in the problem parameters of the convection-diffusion-reaction equation may lead to the formation of layer structures in some parts of the problem domain which are difficult to resolve by the standard numerical algorithms ...
Ali Sendur
doaj +1 more source