Results 11 to 20 of about 3,128,332 (289)
On a Novel Numerical Scheme for Riesz Fractional Partial Differential Equations
Mathematics, 2021 In this paper, we consider numerical solutions for Riesz space fractional partial differential equations with a second order time derivative. We propose a Galerkin finite element scheme for both the temporal and spatial discretizations.
Junjiang Lai, Hongyu Liu
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A bounded upwinding scheme for computing convection-dominated transport problems [PDF]
, 2012 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 +14 more
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Nonlinear Analysis, 2023 A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function.
Guang Yang, Guo-Cheng Wu, Hui Fu
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A Numerical Scheme for the Quantile Hedging Problem [PDF]
SIAM Journal on Financial Mathematics, 2021 47 pages, 6 ...
Bénézet, Cyril +2 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Topics in Numerical Computation of Compressible Flow [PDF]
, 1990 This thesis aims to assist the development of a multiblock implicit Navier-Stokes code for hypersonic flow applications. There are mainly three topics, which concern the understanding of basic Riemann solvers, the implementing of implicit zonal ...
Lin, Hong-Chia
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Crosswise Stream of Cu-H2O Nanofluid with Micro Rotation Effects: Heat Transfer Analysis
Nanomaterials, 2023 The present study focuses on a crosswise stream of liquid-holding nano-sized particles over an elongating (stretching) surface. Tiny particles of copper are added into base liquid (water). The influence of the micro rotation phenomenon is also considered.
Rashid Mehmood +3 more
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A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels
Fractal and Fractional, 2023 The present paper introduces a new class of generalized differential and integral operators. This class includes and generalizes a large number of definitions of fractal-fractional derivatives and integral operators used to model the complex dynamics of ...
Khalid Hattaf
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On the numerical overshoots of shock‐capturing schemes [PDF]
International Journal for Numerical Methods in Fluids, 2021 AbstractThis note introduces a simple metric for benchmarking shock‐capturing schemes. This metric is especially focused on the shock‐capturing overshoots, which may undermine the robustness of numerical simulations, as well as the reliability of numerical results.
Huaibao Zhang, Fan Zhang
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NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
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