Results 1 to 10 of about 135,471 (165)
Layer resolving numerical scheme for singularly perturbed parabolic convection-diffusion problem with an interior layer [PDF]
MethodsX, 2023 Singularly perturbed parabolic convection-diffusion problem with interior layer is a type of singularly perturbed boundary value problems which have sign change properties in the coefficient function of the convection term.
Gemadi Roba Kusi +2 more
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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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Development of a Numerical Scheme
American Journal of Computational Mathematics, 2016 In this paper, we developed a new numerical scheme which aimed to solve some initial value problems of ordinary differential equations. The full breakdown of this new numerical scheme derivation is presented. While in our subsequent research, we shall fully examine the characteristics of the scheme such as consistency, convergence and stability.
R. B. Ogunrinde, T. E. Olaosebikan
exaly +3 more sources
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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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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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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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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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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