Results 21 to 30 of about 381,247 (286)
High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations [PDF]
Journal of Applied and Computational Mechanics, 2019 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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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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Finite Difference Schemes as Algebraic Correspondences between Layers
EPJ Web of Conferences, 2018 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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A Mixed Finite Differences Scheme for Gradient Approximation [PDF]
Journal of Optimization Theory and Applications, 2022 AbstractIn this paper, we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective function is costly or the objective function values are affected by some noise.
Marco Boresta +3 more
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Well-balanced finite difference WENO schemes for the blood flow model [PDF]
, 2016 The blood flow model maintains the steady state solutions, in which the flux gradients are non-zero but exactly balanced by the source term. In this paper, we design high order finite difference weighted non-oscillatory (WENO) schemes to this model with ...
Delestre, Olivier +2 more
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A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems
Mathematical Modelling and Analysis, 2015 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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Estimating Scheme Viscosity for Small-Scale Circulation with Implicit Finite-Difference Schemes [PDF]
E3S Web of Conferences, 2023 The article proposes a formula for calculating scheme viscosity, which manifests itself in calculations using implicit schemes for calculating the transfer of matter and momentum.
Salokhiddinov Abdulkhakim +3 more
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Stability of Finite Difference Schemes to Pseudo-Hyperbolic Telegraph Equation
Journal of Mathematical Sciences and Modelling, 2022 Hyperbolic partial differential equations are frequently referenced in modeling real-world problems in mathematics and engineering. Therefore, in this study, an initial-boundary value issue is proposed for the pseudo-hyperbolic telegraph equation.
Fatih Özbağ, Mahmut Modanlı
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Journal of Physics: Theories and Applications, 2018 The purpose of this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
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MONOTONIC DERIVATIVE CORRECTION FOR CALCULATION OF SUPERSONIC FLOWS WITH SHOCK WAVES [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 Subject of Research. Numerical solution methods of gas dynamics problems based on exact and approximate solution of Riemann problem are considered. We have developed an approach to the solution of Euler equations describing flows of inviscid compressible
P. V. Bulat, K. N. Volkov
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