Results 1 to 10 of about 381,247 (286)
Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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On nonstandard finite difference schemes in biosciences. [PDF]
AIP Conf Proc, 2012 We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in ...
Anguelov R, Dumont Y, Lubuma JM.
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Recursive finite-difference Lattice Boltzmann schemes [PDF]
Computers & Mathematics with Applications, 2021 The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Vienne, Lucien, Lévêque, Emmanuel
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On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Difference schemes of the finite difference method and the finite element method of high-order accuracy in time and space are proposed and investigated for a pseudo-parabolic Sobolev type equation.
M.M. Aripov +3 more
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Conservative finite difference schemes for dynamical systems
Discrete and Continuous Models and Applied Computational Science, 2022 The article presents the implementation of one of the approaches to the integration of dynamical systems, which preserves algebraic integrals in the original fdm for Sage system.
Yu Ying, Zhen Lu
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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Finite difference schemes for time-dependent convection q-diffusion problem
AIMS Mathematics, 2022 The energy balance ordinary differential equations (ODEs) model of climate change is extended to the partial differential equations (PDEs) model with convections and q-diffusions.
Yasir Nawaz +3 more
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Nonstandard Finite Difference Schemes for an SIR Epidemic Model
Mathematics, 2021 This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law.
Mohammad Mehdizadeh Khalsaraei +3 more
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Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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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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