Results 41 to 50 of about 465 (189)
On the numerical solution of the diffusion equation with a nonlocal boundary condition
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 81-92, 2003., 2003 Parabolic partial differential equations with nonlocal boundary specifications feature in the mathematical modeling of many phenomena. In this paper, numerical schemes are developed for obtaining approximate solutions to the initial boundary value problem for one‐dimensional diffusion equation with a nonlocal constraint in place of one of the standard ...
Mehdi Dehghan
wiley +1 more source
A Macroscopic Continuum Framework for Urban Traffic With Dynamic Curbside Parking Activity
Journal of Advanced Transportation, Volume 2026, Issue 1, 2026.Urban traffic performance is strongly shaped by interactions between moving vehicles and curbside activities such as parking maneuvers, deliveries, and ride‐hailing pickups. These interactions modify effective capacity and driver behavior in ways not captured by conventional macroscopic traffic models. This study introduces the macroscopic activity and
Gabriel Obed Fosu +3 more
wiley +1 more source
Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]
, 2010 Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method.
Manohar, Pratibha, Garg, Mridula
core
Fast implicit schemes for the fokker-planck-landau equation [PDF]
, 2004 We propose time implicit schemes to solve the homogeneous Fokker-Planck-Landau equation in both the isotropic and 3D geometries. These schemes have properties of conservation and entropy. Moreover, they allow for large time steps, making them faster than
Mieussens, Luc +3 more
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Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi +4 more
wiley +1 more source
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS [PDF]
, 2009 We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approximations to the exact solution. It is
Hermann Brunner, Ishtiaq Ali, Tao Tang
core
East Asian Journal on Applied Mathematics, 2018 A conservative finite difference scheme for nonlinear space fractional KleinGordon-Schrödinger systems with high-degree Yukawa interaction is studied. We show that the arising difference equations are uniquely solvable and approximate solutions converge ...
Jun-Jie Wang, Ai-Guo Xiao, Chen-Xi Wang
semanticscholar +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper develops a noncommensurate time‐fractional SEIQR reaction–diffusion model for infectious disease dynamics with artificial intelligence (AI)–assisted inverse identification and forecasting. The susceptible, exposed, infected, quarantined, and recovered classes are governed by distinct Caputo fractional orders so that latency, infection ...
Younes Brahim Oumedjber +4 more
wiley +1 more source
Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
wiley +1 more source
Alexandria Engineering Journal, 2020 In this paper, a singularly perturbed Volterra integro-differential equation, characterised by a single layer, is investigated. A numerical technique which uses a non-standard finite difference scheme is implemented to solve the differential part ...
Nana Adjoah Mbroh +2 more
doaj +1 more source