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of 277
pro vyhledávání: '"A. Aminataei"'
Autor:
Z. Soori, A. Aminataei
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 11, Iss 2, Pp 365-383 (2021)
We present two numerical approximations with non-uniform meshes to the Caputo–Fabrizio derivative of order α (0 < α < 1). First, the L1 formula is obtained by using the linear interpolation approximation for constructing the second-order approxim
Externí odkaz:
https://doaj.org/article/3499c9ec00844f08b3118b0443064a1f
Autor:
M. A. Jafari, A. Aminataei
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 11, Iss 1, Pp 221-233 (2021)
In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science. There are several formal kinds of interpolation, including linear interpolation, polynomi
Externí odkaz:
https://doaj.org/article/255325f07fa94667811953079340dd5d
Autor:
M.H. Derakhshan, A. Aminataei
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 10, Iss 2, Pp 63-85 (2020)
We study two numerical techniques based on the homotopy perturba tion transform method (HPTM) and the fractional Adams–Bashforth method (FABM) for solving a class of nonlinear time-fractional differential equations involving the Caputo–Prabhakar
Externí odkaz:
https://doaj.org/article/0e2a44d42fc24a908f53a14b178cb477
Autor:
Mohammad Ali Jafari, Azim Aminataei
Publikováno v:
Mathematics and Computational Sciences, Vol 4, Iss 2, Pp 13-20 (2023)
In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formu
Externí odkaz:
https://doaj.org/article/f474d749a27643abae3896d12f1d492c
Autor:
M. A Jafari, A Aminataei
Publikováno v:
Mathematics and Computational Sciences, Vol 3, Iss 3, Pp 40-46 (2022)
In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, us
Externí odkaz:
https://doaj.org/article/d969512d5f374d12b79d5ad3c43f64aa
Publikováno v:
Mathematics and Modeling in Finance, Vol 2, Iss 1, Pp 195-208 (2022)
We consider European style options with risk-neutral parameters and time-fractional Levy diffusion equation of the exponential option pricing model in this paper. In a real market, volatility is a measure of the quantity of inflation in asset prices
Externí odkaz:
https://doaj.org/article/ee813fd311744d38993309b1c32dd784
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)
Since real-world data are often inaccurate and working with fuzzy data and Z-numbers are very important and necessary, and in the real world, we need to rank and compare data, in this article, we introduce a new method for ranking Z-numbers. This ran
Externí odkaz:
https://doaj.org/article/d5f68d16cb3c4a25bdde0011a3908c69
Akademický článek
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Publikováno v:
AUT Journal of Mathematics and Computing, Vol 1, Iss 2, Pp 235-250 (2020)
The main aim of the current article is to find the solution for Newell Whitehead-Segel equations with constant coefficients containing Caputo-Prabhakar fractional derivative using the homotopy perturbation transform method. The convergence analysis o
Externí odkaz:
https://doaj.org/article/8a2256f04e244334aab5820969ac9ceb
Autor:
Soori, Z., Aminataei, A.
Publikováno v:
In Applied Numerical Mathematics October 2019 144:21-41