Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 An initial-boundary value problem is studied for a multidimensional loaded parabolic equation of general form with boundary conditions of the third kind. For a numerical solution, a locally one-dimensional difference scheme by A.A.Samarskii with order of
Zaryana Beshtokova
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Higher order finite difference schemes for the magnetic induction equations [PDF]
, 2010 We describe high order accurate and stable finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model the evolution of a magnetic field due to a given velocity field.
B. Gustafsson +22 more
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EXPRESS MODEL FOR WATER TREATMENT PROCESS CALCULATION
Nauka ta progres transportu, 2020 Purpose. The use of a physical experiment to study mass transfer processes in structures used in water supply and sewage systems requires considerable time and is very expensive.
V. D. Petrenko +5 more
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Networks and Heterogeneous Media, 2010 We study a system of conservation laws that describesmulti-species kinematic flows with an emphasis onmodels of multiclass traffic flow and of the creaming of oil-in-waterdispersions.
Raimund Bürger +2 more
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Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations [PDF]
, 2006 We obtain non-symmetric upper and lower bounds on the rate of convergence of general monotone approximation/numerical schemes for parabolic Hamilton Jacobi Bellman Equations by introducing a new notion of consistency.
Barles, Guy, Jakobsen, Espen R.
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems [PDF]
E-Journal of Analysis and Applied MathematicsThis paper presents the existence and uniqueness of the weak solution for the nonlinear system of sine-Gordon equations which describes DNA dynamics.
Ozgur Yildirim
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A fully implicit non-standard finite difference scheme for one dimensional Burgers' equation
Journal of Applied Research on Industrial Engineering, 2020 In this paper we have studied a numerical approximation to the solution of the nonlinear Burgers' equation. The presented scheme is obtained by using the Non-Standard Finite Difference Method (NSFD).
Abdolrahman Yaghoobi +1 more
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On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme
Discrete and Continuous Models and Applied Computational Science, 2021 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.
Yu Ying, Mikhail D. Malykh
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Mixture Designs Generated by Orthogonal Arrays Developed Using Difference Schemes [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This paper presents an algorithm for constructing mixture designs based on orthogonal arrays developed using difference schemes. The algorithm can also be applied to constrained mixture experiments.
Poonam Singh, Vandana Sarin, Neha Midha
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Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains
Informatika, 2023 Objectives. A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem for the Poisson equation given in two-dimensional irregular domains.Methods. To solve the problem, generalized curvilinear coordinates are used.
M. M. Chuiko, O. M. Korolyova
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