Results 11 to 20 of about 96 (92)
Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions
Journal of Applied Mathematics, 2008 We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u ...
Louis A. Assalé +2 more
doaj +1 more source
On the continuum limit for a semidiscrete Hirota equation [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2016 In this paper, we propose a new semidiscrete Hirota equation which yields the Hirota equation in the continuum limit. We focus on the topic of how the discrete space step δ affects the simulation for the soliton solution to the Hirota equation. The Darboux transformation and explicit solution
Andrew Pickering +2 more
openaire +2 more sources
Method of semidiscretization in time for quasilinearintegrodifferential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
openaire +2 more sources
Journal of Numerical Analysis and Approximation Theory, 2011 This paper concerns the study of the numerical approximation for the following boundary value problem \begin{equation*} \begin{cases} u_t(x,t)-u_{xx}(x,t)= -a(x)f(u(x,t)), & 00, \\ u(x,0)= u_{0}(x)>0, & 0\leq x \leq 1, \\ \end{cases} \end{equation*
Halima Nachid
doaj +2 more sources
Semidiscretization for Time-Delayed Neural Balance Control [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: The observation that time-delayed feedback can stabilize an inverted pendulum motivates the formulation of models of human balance control in terms of Delay Differential Equations (DDEs). Recently the intermittent, digital-like nature of the neural feedback control of balance has become evident.
Tamás Insperger +2 more
openaire +2 more sources
Semidiscrete Toda lattices [PDF]
Theoretical and Mathematical Physics, 2012 15 ...
openaire +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie +3 more
wiley +1 more source
Semidiscrete Shocks for the Full Velocity Difference Model
Applied Mathematics & Optimization, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nader El Khatib +2 more
openaire +2 more sources
The Influence of Spindle Speed Variation on the Suppression of Self‐Oscillations During Turning
Shock and Vibration, Volume 2026, Issue 1, 2026.This paper presents the results of a study examining the effect of the spindle speed variation (SSV) mode on the suppression of self‐oscillations (chatter) during turning. Particular attention is paid to analyzing the effectiveness of the SSV mode for various types of self‐oscillations (regenerative, tangential, and coupled).
Pavlo Tryshyn +3 more
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 41, Issue 4, July 2025.ABSTRACT We develop structure‐preserving numerical methods for the Serre–Green–Naghdi equations, a model for weakly dispersive free‐surface waves. We consider both the classical form, requiring the inversion of a nonlinear elliptic operator, and a hyperbolic approximation of the equations, allowing fully explicit time stepping.
H. Ranocha, M. Ricchiuto
wiley +1 more source