Results 11 to 20 of about 4,941,141 (298)
Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations [PDF]
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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A bounded upwinding scheme for computing convection-dominated transport problems [PDF]
A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference ...
McKee, Sean +6 more
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On central-difference and upwind schemes [PDF]
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Swanson, R. C., Turkel, Eli
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Crewther's Relation in Different Schemes
We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated by ensuring that the conformal properties of the relation are preserved at all the critical points of QCD ...
Mason, R. H., Gracey, J. A.
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On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme
The preservation of quadratic integrals on approximate solutions of autonomous systems of ordinary differential equations x=f(x), found by the trapezoidal scheme, is investigated. For this purpose, a relation has been established between the trapezoidal scheme and the midpoint scheme, which preserves all quadratic integrals of motion by virtue of ...
Ying Yu, Malykh M.D.
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In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
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On the Crank-Nicolson difference scheme for the time-dependent source identification problem
In this study the source identification problem for the one-dimensional Schr¨odinger equation with non-local boundary conditions is considered. A second order of accuracy Crank-Nicolson difference scheme for the numerical solution of the differential ...
A. Ashyralyev, M. Urun
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Mathematical modeling of the human capital dynamic [PDF]
In the conditions of the development of modern economy, human capital is one of the main factors of economic growth. The formation of human capital begins with the birth of a person and continues throughout life, so the value of human capital is ...
Karolina Vyacheslavovna Ketova +2 more
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The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems
This is a discussion on the second-order accuracy difference schemes for approximate solution of the integral-type time-nonlocal parabolic problems. The theorems on the stability of r-modified Crank-Nicolson difference schemes and second-order accuracy ...
Allaberen Ashyralyev +1 more
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Yongqiang Yang +5 more
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