Results 31 to 40 of about 155 (148)
Advances in Mathematical PhysicsMSC2020 Classification: 35B25, 65M06 ...
Mousa J. Huntul, Imiru Takele Daba
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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
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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
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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
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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
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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
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Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs [PDF]
Logical Methods in Computer Science, 2017 We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs.
Svetlana Selivanova, Victor Selivanov
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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
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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
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A Higher‐Order L1‐2‐3 Numerical Method for Time‐Fractional Volterra Integrodifferential Equations
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates the numerical solution of time‐fractional Volterra integrodifferential equations that arise in many real‐life problems. A higher‐order numerical scheme is proposed using the L1‐2‐3 method for the time‐fractional derivative, Simpson’s 1/3 rule approximates the integral part, and the spatial derivatives are approximated using the ...
Aynalem Tafere Chekole +4 more
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