Results 11 to 20 of about 21,010 (259)
Non-Standard Finite Difference Schemes for Solving Singular Lane-Emden Equation [PDF]
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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A Positive Finite-Difference Advection Scheme [PDF]
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W. Hundsdorfer (Willem) +3 more
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Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity.
Vladimir Dorodnitsyn, Evgeniy Kaptsov
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High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations [PDF]
In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is ...
Raziyeh Gharechahi +2 more
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On compact 4th order finite-difference schemes for the wave equation
We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the n-dimensional nonhomogeneous wave equation, n≥ 1.
Alexander Zlotnik, Olga Kireeva
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A monotone predictor-corrector scheme for advection
A monotone predictor- corrector finite difference scheme solving the advection equation has been proposed. A geometrical interpretation of the Burstein scheme forms a basis for construction of the new scheme.
Radosław Trębiński
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Staggered Finite Difference Schemes for Conservation Laws [PDF]
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Gabriella Puppo, Giovanni Russo 0001
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Finite Difference Schemes as Algebraic Correspondences between Layers
For some differential equations, especially for Riccati equation, new finite difference schemes are suggested. These schemes define protective correspondences between the layers.
Malykh Mikhail, Sevastianov Leonid
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Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation [PDF]
Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation.
Zhang, Lei, Wang, Lisha, Ding, Xiaohua
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A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems
This work deals with the problem of choosing a time step for the numerical solution of boundary value problems for parabolic equations. The problem solution is derived using the fully implicit scheme, whereas a time step is selected via explicit ...
Petr N. Vabishchevich
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