Results 71 to 80 of about 1,158 (197)
Numerical and Analytical Solutions for a Nonlinear System
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim +2 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study involves the development of a framework for checking the accuracy of built‐in algorithms from Mathcad software. The built‐in algorithms used inside Mathcad software include Runge–Kutta method of the fourth order (RK4), Adams method, backward differential formula, AdamsBDF, Radau, Bulstoer, Stiffr, and Stiffb methods.
M. C. Kekana +5 more
wiley +1 more source
Existence of solutions to infinite elastic beam equations with unbounded nonlinearities
Electronic Journal of Differential Equations, 2017 This article concerns the existence of unbounded solutions to fourth-order boundary-value problem on the half-line with two-point boundary conditions. One-sided Nagumo condition plays a special role as it allows an asymmetric unbounded behavior on the
Hugo Carrasco, Feliz Minhos
doaj
Bifurcation analysis of the travelling waveform of FitzHugh-Nagumo nerve conduction model equation
, 1997 The FitzHugh-Nagumo model for travelling wave type neuron excitation is studied in detail. Carrying out a linear stability analysis near the equilibrium point, we bring out various interesting bifurcations which the system admits when a specific Z2 ...
Muruganandam, P. +3 more
core +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper presents a one‐step multiderivative hybrid block method of Order 12 that incorporates an overlapping strategy, in which intrastep points from the previous block are reused in the current step to enhance accuracy and stability when solving linear and nonlinear initial value problems.
Uthman O. Rufai +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source
, 2011 計畫編號：NSC99-2115-M032-004研究期間：201008~201107研究經費：350,000本文探討某一p-Laplacian二階非線性方程在廣義區間（time scales）上的存在解。方程式中的外力函數f，滿足適當的限制及Nagumo條件。A p-Laplacian second order nonlinear dynamic equation boundary value problem under a Nagumo condition is concerned.
錢傳仁
core
, 2021 In this paper, we introduce fully implementable, adaptive Euler–Maruyama schemes for McKean–Vlasov stochastic differential equations (SDEs) assuming only a standard monotonicity condition on the drift and diffusion coefficients but no global Lipschitz ...
Reisinger, Christoph +1 more
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Non-Classical Symmetry Solutions to the Fitzhugh Nagumo Equation.
, 2010 In Reaction-Diffusion systems, some parameters can influence the behavior of other parameters in that system. Thus reaction diffusion equations are often used to model the behavior of biological phenomena.
Mehraban, Arash
core
, 2011 The vibrational resonance (VR) and stochastic resonance (SR) phenomena in time-delayed FitzHugh-Nagumo (FHN) neural model, driven by one high-frequency (HF) signal and one low-frequency (LF) signal, with coupled multiplicative and colored additive noise,
Zheng You He, Yu Rong Zhou
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