Results 31 to 40 of about 252,020 (241)
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation [PDF]
, 2022 From the classical explicit Euler scheme of first order, nonstandard finite difference (NSFD) schemes were envisioned to mimic the essential properties of the governing differential equation model for every time step-size. In the context of compartmental
Calatayud, Julia, Jornet, Marc
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Approximation of the Huxley equation with nonstandard finite-difference scheme [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 In this paper, an explicit exact finite-difference scheme for the Huxley equation is presented based on the nonstandard finite-difference (NSFD) scheme. Afterwards, an NSFD scheme is proposed for the numerical solution of the Huxley equation.
M. Namjoo, S. Zibaei
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Non-Standard Finite Difference Schemes for Solving Singular Lane-Emden Equation [PDF]
International Journal of Research in Industrial Engineering, 2017 In this paper we construct Non-Standard finite difference schemes (NSFD) for numerical solution of nonlinear Lane-Emden type equations which are nonlinear ordinary dierential equations on semi-infinite domain.
H. Saberi Najafi, A. Yaghoubi
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Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal, 2018 In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
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Advances in Difference Equations, 2019 In this paper, an optimal control for a novel fractional West Nile virus model with time delay is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the Grünwald–
N. H. Sweilam, O. M. Saad, D. G. Mohamed
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Ain Shams Engineering Journal, 2023 In this paper, we analyze the fractional compartmental model in the sense of Caputo derivative for the dynamics of the novel human papillomavirus, which causes cervical cancer.
Asma Rashid Butt +4 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 This paper addresses the solution of a differential-difference type equation having an interior layer behaviour. A difference scheme is suggested to solve this equation using a non-standard finite difference method.
R. Omkar, M. Lalu, K. Phaneendra
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Nonstandard finite difference schemes for a general predator–prey system [PDF]
Journal of Computational Science, 2019 In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite difference scheme (NSFD). The NSFD model shows complete dynamic consistency with its continuous counterpart for any step size.
Quang A. Dang, Manh Tuan Hoang
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Nonstandard Finite Difference Schemes for the Study of the Dynamics of the Babesiosis Disease [PDF]
Symmetry, 2020 In this paper, a discrete-time model for Babesiosis disease, given by means of nonstandard finite difference (NSFD) schemes, is first provided and analyzed. Mathematical analyses show that the provided NSFD schemes preserve the essential (qualitative) dynamical properties of the continuous-time model, namely, positivity and boundedness of the solutions,
Quang A. Dang +3 more
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An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System
IEEE Access, 2020 In this paper, an efficient nonstandard finite difference scheme for the numerical solution of chaotic fractional-order Chen system is developed. In the new method, an appropriate nonlocal framework in conjunction with the Grünwald-Letnikov ...
Beijia Wang, Liang Li, Yaowu Wang
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