Results 281 to 290 of about 10,875,163 (358)
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Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation
, 2021In this paper, the stable analytical solutions’ accuracy of the nonlinear fractional nonlinear time–space telegraph (FNLTST) equation is investigated along with applying the trigonometric-quantic-B-spline (TQBS) method.
M. Khater, D. Lu
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Numerical Solution of Asymmetric Auctions
Decision Analysis, 2021We propose the backward indifference derivation (BID) algorithm, a new method to numerically approximate the pure strategy Nash equilibrium (PSNE) bidding functions in asymmetric first-price auctions. The BID algorithm constructs a sequence of finite-action PSNE that converges to the continuum-action PSNE by finding where bidders are indifferent ...
Timothy C. Au, David Banks, Yi Guo
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Numerical soliton solutions of improved Boussinesq equation
International Journal of Numerical Methods for Heat and Fluid Flow, 2011 Purpose - The purpose of this paper is to use the homotopy perturbation method (HPM) to obtain numerical soliton solution of the improved Boussinesq equation (IBE).
Syed Tauseef Mohyud-Din, Sefa Anil Sezer
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Numerical solutions for solving model time‐fractional Fokker–Planck equation
Numerical Methods for Partial Differential Equations, 2020In this work, we use two different techniques to discuss approximate analytical solutions for the time‐fractional Fokker–Planck equation (TFFPE), namely the new iterative method (NIM) and the fractional power series method (FPSM).
A. Mahdy
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Stability analysis and numerical solutions of fractional order HIV/AIDS model
Chaos, Solitons & Fractals, 2019In this work, we study the Fractional Order (FO) model HIV/AIDS involving the Liouville–Caputo and Atangana–Baleanu–Caputo derivatives. The generalized HIV/AIDS model enable and indicates that some infected specific move from symptomatic phase to the ...
Aziz Khan +3 more
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, 2020
In this paper, an analytical scheme [the generalized Sinh–Gordon equation method) with a new fractional operator ( ABR fractional operator] is employed to find novel computational solutions of the nonlinear fractional Kolmogorov–Petrovskii–Piskunov (FKPP)
M. Khater +4 more
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In this paper, an analytical scheme [the generalized Sinh–Gordon equation method) with a new fractional operator ( ABR fractional operator] is employed to find novel computational solutions of the nonlinear fractional Kolmogorov–Petrovskii–Piskunov (FKPP)
M. Khater +4 more
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Numerical Solution of Nonlinear Equations
ACM Transactions on Mathematical Software, 1979The numermal solutmn of n nonhnear equatmns in n varmbles using the methods of Newton, Brown, and Brent is drscussed. The algorithms are described in detail and their lmplementatmns are compared on a set of test problems.
Jorge J. Moré, Michel Cosnard
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Chaos, Solitons & Fractals, 2019
This paper focuses on providing a novel high-order algorithm for the numerical solutions of fractional order Volterra integro-differential equations using Atangana–Baleanu approach by employing the reproducing kernel approximation.
O. A. Arqub, Banan Maayah
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This paper focuses on providing a novel high-order algorithm for the numerical solutions of fractional order Volterra integro-differential equations using Atangana–Baleanu approach by employing the reproducing kernel approximation.
O. A. Arqub, Banan Maayah
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Mathematical methods in the applied sciences, 2019
In this paper, we combine the unified and the explicit exponential finite difference methods to obtain both analytical and numerical solutions for the Newell‐Whitehead‐Segel–type equations which are very important in mathematical biology.
B. Inan, M. Osman, Turgut Ak, D. Baleanu
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In this paper, we combine the unified and the explicit exponential finite difference methods to obtain both analytical and numerical solutions for the Newell‐Whitehead‐Segel–type equations which are very important in mathematical biology.
B. Inan, M. Osman, Turgut Ak, D. Baleanu
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Numerical solutions to noisy systems
49th IEEE Conference on Decision and Control (CDC), 2010A numerical method for rigorous over-approximation of a solution set of an input-affine system whose inputs represent some bounded noise is presented. The method gives high order error for a single time step and a uniform bound on the error over the finite time interval.
S. Živanovic (Sanja) +1 more
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