Results 61 to 70 of about 700 (91)

Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters

Demonstratio Mathematica
This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters.
Ansari Khursheed J., Izadi Mohammad, Noeiaghdam Samad   +2 more
doaj   +1 more source

A singular perturbation result for a class of periodic-parabolic BVPs

Open Mathematics
In this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago, Fernández-Rincón Sergio, López-Gómez Julián   +2 more
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The initial-boundary value problem on a finite domain

European Journal of Applied Mathematics
In the second part of this series of papers, we address the same evolution problem that was considered in part 1 (see [16]), namely the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end ...
David J. Needham, John Billingham
doaj   +1 more source

Persistence of a unique periodic wave train in convecting shallow water fluid

Demonstratio Mathematica
The coexistence of a traveling pulse and a periodic traveling wave was established in a convecting shallow water model when taking a nonlinear buoyancy term uuxu{u}_{x}.
Yang Sumin, Wen Qian
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

European Journal of Applied Mathematics
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel,
David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer   +3 more
doaj   +1 more source

A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations

European Journal of Applied Mathematics
This paper develops a geometric and analytical framework for studying the existence and stability of pinned pulse solutions in a class of non-autonomous reaction–diffusion equations.
Yuanxian Chen, Jianhe Shen
doaj   +1 more source

On non-existence of a one factor interest rate model for volatility averaged generalized Fong-Vasicek term structures

, 2008
The purpose of this paper is to study the generalized Fong--Vasicek two-factor interest rate model with stochastic volatility. In this model the dispersion of the stochastic short rate (square of volatility) is assumed to be stochastic as well and it ...
Sevcovic, D., Stehlikova, B.
core  

Modelling microtube driven invasion of glioma. [PDF]

J Math Biol, 2023
Hillen T, Loy N, Painter KJ, Thiessen R.
europepmc   +1 more source

Coumarin Triazoles as Potential Antimicrobial Agents. [PDF]

Antibiotics (Basel), 2023
Patil SA, Nesaragi AR, Rodríguez-Berrios RR, Hampton SM, Bugarin A, Patil SA.   +5 more
europepmc   +1 more source

Vanishing viscosity plane parallel channel flow and related singular perturbation problems

, 2008
A. Mazzucato, Michael Taylor
semanticscholar   +1 more source