Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Waleed M Abd-Elhameed"'
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-23 (2017)
Abstract The principal aim of this paper is to analyze and implement two numerical algorithms for solving two kinds of space fractional linear advection-dispersion problems. The proposed numerical solutions are spectral and they are built on assuming
Externí odkaz:
https://doaj.org/article/420ccbf34e0e4ac7aebabade072fde87
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
Abstract The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal pol
Externí odkaz:
https://doaj.org/article/51a617e684ef446ebcf247db62fdc2c9
Publikováno v:
Mathematical Methods in the Applied Sciences.
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 8, Iss 2 (2018)
This paper is dedicated to analyzing and presenting an efficient numerical algorithm for solving a class of fractional optimal control problems (FOCPs). The basic idea behind the suggested algorithm is based on transforming the FOCP under investigati
Externí odkaz:
https://doaj.org/article/d0f2df0388ee46dfae5de34bffb8bb95
Publikováno v:
Applied Numerical Mathematics. 167:237-256
Through the current article, a numerical technique to obtain an approximate solution of one-dimensional linear hyperbolic partial differential equations is implemented. A certain combination of the shifted Chebyshev polynomials of the fifth-kind is u
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:9224-9236
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 23:1253-1268
This paper presents an explicit formula that approximates the fractional derivatives of Chebyshev polynomials of the first-kind in the Caputo sense. The new expression is given in terms of a terminating hypergeometric function of the type 4 F 3(1). T
Publikováno v:
Computer Modeling in Engineering & Sciences. 126:955-989
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal polynomials.
Publikováno v:
Fractional Order Analysis