Numerical modelling of dynamics of free boundary of hydride formation
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018 One of the most important requirements for the reactor's active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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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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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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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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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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Stability for inhomogeneous difference schemes [PDF]
Proceedings of the American Mathematical Society, 1961 where u is a (possibly vector-valued) unknown function of a real "time" variable t and an N-dimensional real vector "space" variable x. Here A is a linear operator, constant2 in t, operating on u, where u is considered a function of x alone (i.e., A acts on elements of a linear space 63 and, for each value of t, u(., t) C 63). The function f is a known
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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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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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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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