Results 1 to 10 of about 15,083 (198)
Numerical approximation of time-fractional Burgers-type equation [PDF]
Advances in Difference Equations, 2020 In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
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Mathematics, 2023 The accuracy of the conventional finite element (FE) approximation for the analysis of acoustic propagation is always characterized by an intractable numerical dispersion error.
Sina Dang, Gang Wang, Yingbin Chai
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Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control
Machines, 2022 Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella +4 more
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Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation
Arab Journal of Basic and Applied Sciences, 2022 In this article, the time-space fractional diffusion equation is solved by using the fractional operator in Atangana–Baleanu–Caputo (ABC) sense based on the Mittag-Leffler function involving non-singular and non-local kernels.
Saira Siddiqui +2 more
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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Numerical Approximation Method for Solving Differential Equations
Eurasian Journal of Science and Engineering, 2020 This paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations.
Salisu Ibrahim
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Numerical Approaches to Fractional Integrals and Derivatives: A Review
Mathematics, 2020 Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two main characteristics—singularity and nonlocality—has attracted increasing interest due to its potential applications in the real world.
Min Cai, Changpin Li
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Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments
Risks, 2018 In this paper, a dual risk model under constant force of interest is considered. The ruin probability in this model is shown to satisfy an integro-differential equation, which can then be written as an integral equation. Using the collocation method, the
Sooie-Hoe Loke, Enrique Thomann
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Accurate ENO-like schemes for the model of fluid flows in a nozzle with variable cross-section [PDF]
Iranian Journal of Numerical Analysis and OptimizationA class of accurate high-order $ENO$-like schemes for the model of fluid flows in a nozzle with variable cross-section is presented. The model contains a nonconservative source term, which causes unsatisfactory results to standard numerical schemes, even
D.H. Cuong, M.D. Thanh
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PLoS ONE, 2009 Previous studies have implicated several brain areas as subserving numerical approximation. Most studies have examined brain correlates of adult numerical approximation and have not considered individual differences in mathematical ability.
Yulia Kovas +7 more
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