Results 41 to 50 of about 2,389 (167)
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Linear multistep methods for integrating reversible differential equations [PDF]
, 1999 This paper studies multistep methods for the integration of reversible dynamical systems, with particular emphasis on the planar Kepler problem.
Kang F., N. Wyn Evans, Scott Tremaine
core +2 more sources
On qualitative analysis of an ecological dynamics with time delay
Asian Journal of Control, Volume 28, Issue 1, Page 46-56, January 2026.Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley +1 more source
Exponentially fitted fifth-order two-step peer explicit methods [PDF]
, 2015 The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel ...
Calvo, M +3 more
core +3 more sources
SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.The work delivers a rigorous mathematical framework for asymptotic tracking in nonlinear systems that explicitly include control‐input derivatives, actuator dynamics, and input saturation, with Lyapunov‐based proofs establishing convergence and robustness under their coupled effects.
Mohammad Reza Homaeinezhad +5 more
wiley +1 more source
Advances in Difference Equations, 2021 This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator and prey act as agents in an ecosystem in this simulation.
Aziz Khan +4 more
doaj +1 more source
On three-dimensional variable order time fractional chaotic system with nonsingular kernel [PDF]
We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the approximate solution of a variable order fractional three-dimensional chaotic process.
Hashemi, Mir Sajjad +2 more
core +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh +6 more
wiley +1 more source
Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (NSVIEK2) numerically using Predictor-Corrector methods (P-CM). Two multistep methods (Adams-Bashforth, Adams-Moulton).
Borhan Jumaa, Abbas Taqi
doaj +1 more source