Results 1 to 10 of about 9,535 (264)

Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization

open access: yesMethodsX, 2022
The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
doaj   +1 more source

Novel Numerical Method Based on the Analog Equation Method for a Class of Anisotropic Convection-Diffusion Problems

open access: yesFrontiers in Physics, 2022
In this work, a CMFS method based on the analogy equation method, the radial basis function and the method of fundamental solutions for linear and nonlinear convection-diffusion equations in anisotropic materials is presented.
L Zhang   +8 more
doaj   +1 more source

Lagrangian for the convection–diffusion equation [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2012
Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection–diffusion equation in the special case of constant coefficients. Copyright © 2012 John Wiley & Sons, Ltd.
Cresson, Jacky   +2 more
openaire   +4 more sources

Metastability for nonlinear convection–diffusion equations [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Folino, Raffaele   +3 more
openaire   +1 more source

New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method

open access: yesTikrit Journal of Pure Science, 2023
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation.
Seham I. Aziz   +3 more
doaj   +1 more source

Exact traveling wave solutions of fast reaction–diffusion–convectionequations based on the Lambert function W

open access: yesPartial Differential Equations in Applied Mathematics, 2020
A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection​ (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
doaj   +1 more source

An explicit method for convection-diffusion equations [PDF]

open access: yesJapan Journal of Industrial and Applied Mathematics, 2009
The authors approximate convection-diffusion equations with dominant convection by discretizing in space with piecewise linear finite elements combining with a non-standard explicit Euler scheme for the time integration. They prove that the numerical solution is stable in the \(L^\infty\)-norm in both space and time.
Ruas, Vitoriano   +2 more
openaire   +2 more sources

G-jitter induced magnetohydrodynamics flow of nanofluid with constant convective thermal and solutal boundary conditions. [PDF]

open access: yesPLoS ONE, 2015
Taking into account the effect of constant convective thermal and mass boundary conditions, we present numerical solution of the 2-D laminar g-jitter mixed convective boundary layer flow of water-based nanofluids.
Mohammed J Uddin   +2 more
doaj   +1 more source

A nonlocal convection–diffusion equation

open access: yesJournal of Functional Analysis, 2007
En este trabajo estudiamos una ecuación no local que tiene en cuenta los efectos convectivos y difusivos, ut=J∗u−u+G∗(f(u))−f(u) en Rd, siendo J radialmente simétrica y G no necesariamente simétrica. Primero, probamos la existencia, la singularidad y la dependencia continua con respecto a la condición inicial de las soluciones.
Liviu I. Ignat, Julio D. Rossi
openaire   +3 more sources

Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions

open access: yesJournal of Function Spaces, 2020
In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Yan Gao, Songlin Liu
doaj   +1 more source

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