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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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system [PDF]
Mathematics of Computation, 2020 In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model, we make use of the Energetic Variational Approach (EnVarA), so that the ...
Chun Liu +4 more
semanticscholar +1 more source
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
openaire +2 more sources
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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In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives
Fractal and Fractional, 2023 The economic burden of HIV extends beyond the individual level and affects communities and countries. HIV can lead to decreased economic growth due to lost productivity and increased healthcare costs.
Asif Jan +5 more
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An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation
Journal of Computational and Applied Mathematics, 2021 In this paper we present an error analysis for a second order accurate numerical scheme for the 2-D and 3-D Cahn-Hilliard (CH) equation, with an improved convergence constant.
Jing Guo +3 more
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Alexandria Engineering Journal, 2023 In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator.
Hasib Khan +2 more
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A Positive and Energy Stable Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard Equations with Steric Interactions [PDF]
Journal of Computational Physics, 2020 We consider numerical methods for the Poisson-Nernst-Planck-Cahn-Hilliard (PNPCH) equations with steric interactions. We propose a novel energy stable numerical scheme that respects mass conservation and positivity at the discrete level.
Y. Qian, Cheng Wang, Shenggao Zhou
semanticscholar +1 more source
Applied Sciences, 2022 This paper proposes a numerical scheme for solving linear and nonlinear differential equations obtained from the mathematical modeling of a flow phenomenon. The scheme is constructed on two grid points.
Yasir Nawaz +2 more
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