Results 71 to 80 of about 8,072 (173)

An Overlapping One‐Step Multiderivative Hybrid Block Method for Solving Second‐Order Initial Value Problems

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, Precious Sibanda, Sicelo P. Goqo, Sandile Motsa, Theodore Simos   +4 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  

Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons

, 2011
We derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity. The neurons belong to a fixed number of populations and are represented either by the Hodgkin-Huxley model or ...
Baladron, Javier, Fasoli, Diego, Faugeras, Olivier, Touboul, Jonathan   +3 more
core   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

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, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Rapid‐Onset Therapeutic Effects of Delta Opioid Receptor Agonists on Depression‐Like Behaviors Induced by Chronic Social Defeat Stress

Neuropsychopharmacology Reports, Volume 45, Issue 4, December 2025.
Delta opioid receptor agonists improved social avoidance, depression, and anxiety‐like symptoms induced by chronic social defeat stress within 14 days of chronic administration. Furthermore, the therapeutic effects were observed earlier than with the existing antidepressant paroxetine (28 days).
Akihisa Tokuda, Yasuyuki Nagumo, Keita Kajino, Keita Iio, Katsuyasu Sakurai, Seiya Mizuno, Akiyoshi Saitoh, Tsuyoshi Saitoh, Hiroshi Nagase   +8 more
wiley   +1 more source

Error analysis of Crank–Nicolson-FEM for Fitzhugh–Nagumo system with Robin boundary conditions

Partial Differential Equations in Applied Mathematics
We investigate the convergence properties Crank–Nicolson scheme coupled with the finite element approximation of the Fitzhugh–Nagumo system. This model describes the dynamics of excitable media, such as nerve cells, and has applications in various fields, including neuroscience and cardiac modeling.
S. Dawe, M.S. Daoussa Haggar, L.M. Kemfouet Tsopze, M. Mbehou   +3 more
openaire   +2 more sources

Existence of three solutions for a higher-order boundary-value problem

Electronic Journal of Differential Equations, 2009
We consider a higher-order multi-point boundary-value problem with a nonlinear boundary condition. Sufficient conditions are obtained for the existence of three solutions.
John R. Graef, Lingju Kong, Qingkai Kong
doaj  

Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition

Differential and Integral Equations, 1995
The author establishes several existence results for systems of second- order differential equations (1) \(x'' = f(t,x,x')\) subjected on the interval \(0,1\) to various boundary conditions (e.g. nonhomogeneous Dirichlet, Neumann, Sturm-Liouville conditions, periodic conditions).
openaire   +3 more sources

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method

MANAS: Journal of Engineering, 2017
In this paper, we consider mostly the inhomogeneous Fitzhugh-Nagumo-Huxley equation with its initial value. Adomian Decomposition Method (ADM), Modified Decomposition Method (MDM) and Laplace Decomposition Method (LDM) are applied to this equation to ...
Ömer Faruh Gözükızıl, Hami Gündoğdu   +1 more
doaj