A Comparison between Euler's Method and 4-th Order Runge- Kutta Method For Numerical Solutions of Neutrosophic and Dual Differential Problems [PDF]
This paper is dedicated to study some numerical solutions of neutrosophic and dual differential problems through a numerical comparison between neutrosophic Euler's method and 4-th order Runge-Kutta neutrosophic and dual method, where we apply both ...
Ahmed Salem Heilat
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Numerical Solution of Stochastic Hyperbolic Equations
A two-step difference scheme for the numerical solution of the initial-boundary value problem for stochastic hyperbolic equations is presented. The convergence estimate for the solution of the difference scheme is established.
Necmettin Aggez, Maral Ashyralyyewa
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On Asymptotics of Some Fractional Differential Equations
In this paper we study the large-argument asymptotic behaviour of certain fractional differential equations with Caputo derivatives. We obtain exponential and algebraic asymptotic solutions.
Lukasz Plociniczak
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Numerical Solution for an Epicycloid Crack
A flat crack, Ω, is lying in a three-dimensional homogenous isotropic elastic solid subjected to shear loading. A mathematical formulation is developed based on the mixed boundary values for Ω such that the problem of finding the resulting force can be ...
Nik Mohd Asri Nik Long +3 more
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Sintonização de estados quânticos: um estudo numérico do oscilador harmônico quântico
The quantum harmonic oscillator is described by the Hermite equation.¹ The asymptotic solution is predominantly used to obtain its analytical solutions.
Leandro de Abreu +1 more
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Numerical solution of the Poisson equation on domains with a thin layer of random thickness [PDF]
The present article is dedicated to the numerical solution of the Poisson equation on domains with a thin layer of different conductivity and of random thickness.
Dambrine, Marc +3 more
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Numerical solution methods for fractional partial differential equations [PDF]
Fractional partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and biology. These models are used to describe anomalous diffusion.
Osman, Sheelan Abdulkader
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Optimization of two-stage methanogenesis regime based on the Pontryagin’s maximum principle ***
Introduction. The solution to the problem of optimal control of the biogas process under its conversion in two digesters is considered. The work objectives are to propose a mathematical model of this process and to develop an optimal control algorithm ...
S. A. Korolev, D. V. Maykov
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Direct numerical simulation of turbulence at lower costs [PDF]
Direct Numerical Simulation (DNS) is the most accurate, but also the most expensive, way of computing turbulent flow. To cut the costs of DNS we consider a family of second-order, explicit one-leg time-integration methods and look for the method with the
Veldman, A.E.P. +5 more
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Oscillation Flow of Viscous Electron Fluids in Conductors of Rectangular Cross-Section
The article presents results of an analytical and numerical modeling of electron fluid motion and heat generation in a rectangular conductor at an alternating electric potential.
Andriy A. Avramenko +5 more
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