Results 31 to 40 of about 326,003 (288)
High-accuracy positivity-preserving numerical method for Keller-Segel model
Mathematical Biosciences and Engineering, 2023 The Keller-Segel model is a time-dependent nonlinear partial differential system, which couples a reaction-diffusion-chemotaxis equation with a reaction-diffusion equation; the former describes cell density, and the latter depicts the concentration of ...
Lin Zhang, Yongbin Ge, Xiaojia Yang
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A nonstandard compact finite difference method for a truncated Bratu–Picard model
AIMS MathematicsIn this paper, we used the nonstandard compact finite difference method to numerically solve one-dimensional truncated Bratu-Picard equations and discussed the convergence analysis of the proposed method.
Maryam Arabameri +3 more
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An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations
Advances in Mathematical Physics, 2019 In this paper, a high-order compact finite difference method is proposed for a class of temporal fractional subdiffusion equation. A numerical scheme for the equation has been derived to obtain 2-α in time and fourth-order in space.
Lei Ren, Lei Liu
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Novel 3D coupled convection–diffusion model algorithm
AIP Advances, 2022 The potential of a partial differential equations model is to anticipate its computational behavior. The simulation of a transient 3D coupled convection–diffusion system using a numerical model is described. The main objective of this article is to offer
Muhammad Saqib +5 more
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Operator splittings and spatial approximations for evolution equations [PDF]
, 2009 The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved.
András Bátkai +4 more
core +4 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
MathematicsIn this paper, we present a compact finite difference method for solving the cubic–quintic Schrödinger equation with an additional anti-cubic nonlinearity.
He Yang
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Compact difference scheme for two-dimensional fourth-order hyperbolic equation
Advances in Difference Equations, 2019 In this paper, we mainly study an initial and boundary value problem of a two-dimensional fourth-order hyperbolic equation. Firstly, the fourth-order equation is written as a system of two second-order equations by introducing two new variables. Next, in
Qing Li, Qing Yang
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Effective numerical treatment of sub-diffusion equation with non-smooth solution
, 2018 In this paper we investigate a sub-diffusion equation for simulating the anomalous diffusion phenomenon in real physical environment. Based on an equivalent transformation of the original sub-diffusion equation followed by the use of a smooth operator ...
Li, Yan +3 more
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High order compact finite difference methods for non-Fickian flows in porous media
Computers & Mathematics with Applications, 2023 In this work, fourth-order compact block-centered finite difference (CBCFD) schemes combined with the Crank-Nicolson discretization are constructed and analyzed for solving parabolic integro-differential type non-Fickian flows in one-dimensional and two-dimensional cases. Stability analyses of the constructed schemes are derived rigorously.
Xuan Zhao, Ziyan Li, Xiaoli Li
openaire +2 more sources