Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Hassan Khosravian Arab"'
Autor:
Hassan Khosravian-Arab, Mehdi Dehghan
In the last decade, there has been a surge of interest in application of fractional calculus in various areas such as, mathematics, physics, engineering, mechanics and etc. So, numerical methods have rapidly been developed to handle problems containi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bdc4bc3dbc9289c55d1bb39cb807c17
https://doi.org/10.21203/rs.3.rs-2662203/v1
https://doi.org/10.21203/rs.3.rs-2662203/v1
Publikováno v:
Fractional Calculus and Applied Analysis. 24:775-817
We study approximation properties of a new operator DM,1 n (f, x) introduced by Acu et al. in [Results Math 74:90, (2019)] for Lebesgue integrable functions in [0,1]. An error estimate by the Bezier variant of the operators DM,1 n (f, x)is also obtai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ff97a13c1ae573120cf2c68feac86c5
https://doi.org/10.21203/rs.3.rs-522598/v1
https://doi.org/10.21203/rs.3.rs-522598/v1
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:6389-6410
This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized-tempered Bessel functions of the first- and second-kind which are denoted by GTBFs-1 and GTBFs-2. Two special cases corresponding to the GTBFs-1 and GT
Publikováno v:
Journal of Computational Physics. 338:527-566
This paper is intended to provide exponentially accurate Galerkin, Petrov–Galerkin and pseudo-spectral methods for fractional differential equations on a semi-infinite interval. We start our discussion by introducing two new non-classical Lagrange
Publikováno v:
Numerical Algorithms. 77:111-150
This paper presents a new approach to improve the order of approximation of the Bernstein operators. Three new operators of the Bernstein-type with the degree of approximations one, two, and three are obtained. Also, some theoretical results concerni
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We present the Method Of Lines (MOL), which is based on the spectral collocation method, to solve space-fractional advection-diffusion equations (SFADEs) on a finite domain with variable coefficients. We focus on the cases in which the SFADEs consist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::884d727b8ae0ebf5edd49ff989a9b565
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 93:105510
This paper presents two new non-classical Lagrange basis functions which are based on the new Jacobi-Muntz functions presented by the authors recently. These basis functions are, in fact, generalized forms of the newly generated Jacobi based function
Autor:
Hassan Khosravian-Arab, Delfim F. M. Torres, Farid Bozorgnia, Mostafa Shamsi, Mushtaq Salh Ali
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We propose a direct numerical method for the solution of an optimal control problem governed by a two-side space-fractional diffusion equation. The presented method contains two main steps. In the first step, the space variable is discretized by usin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e2a4948db66298856fe411786cf96be
http://arxiv.org/abs/1810.05876
http://arxiv.org/abs/1810.05876
Publikováno v:
Journal of Computational Physics. 299:526-560
Recently, Zayernouri and Karniadakis in (2013) 78 investigated two classes of fractional Sturm-Liouville eigenvalue problems on compact interval a , b in more detail. They were the first authors who not only obtained some explicit forms for the eigen