Results 101 to 110 of about 1,301 (120)

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

Alexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
doaj  

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

Alexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi, Abdon Atangana, Ali Akgul   +2 more
doaj  

On the Cauchy problem for the reaction-diffusion system with point-interaction in $\mathbb R^2$ [PDF]

arXiv
The paper studies the existence of solutions for the reaction-diffusion equation in $\mathbb R^2$ with point-interaction laplacian $\Delta_\alpha$ with $\alpha\in(-\infty,+\infty]$, assuming the functions to remain on the absolute continuous projection space.
arxiv  

Existence of global solutions to reaction-diffusion systems with nonhomogeneous boundary conditions via a Lyapunov functional

Electronic Journal of Differential Equations, 2002
Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
doaj  

Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement

European Journal of Applied Mathematics
We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D ...
Wenjing Jiang, Qi Wang
doaj   +1 more source

Analysis of a diffusive two-strain malaria model with the carrying capacity of the environment for mosquitoes

Infectious Disease Modelling
We propose a malaria model involving the sensitive and resistant strains, which is described by reaction-diffusion equations. The model reflects the scenario that the vector and host populations disperse with distinct diffusion rates, susceptible ...
Jinliang Wang, Wenjing Wu, Yuming Chen
doaj  

Generalizations and error analysis of the iterative operator splitting method

Open Mathematics, 2013
Ladics Tamás, Faragó István
doaj   +1 more source

Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method

Partial Differential Equations in Applied Mathematics
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari, I. Paulraj Jayasimman, L. Rajendran, M.E.G. Lyons   +3 more
doaj  

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Positive Solutions for Some Weighted Elliptic Problems

, 2020
In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems:  (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on   and f(x, s) is asymptotically linear in ...
H. Zahed
semanticscholar   +1 more source

Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

Journal of Partial Differential Equations, 2018
In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic(hyperbolic) Type Chemotaxis System.
Xu Zijun
semanticscholar   +1 more source