Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Waleed M. Abd-Elhameed"'
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:
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
Autor:
Waleed M. Abd-Elhameed
Publikováno v:
Nonlinear Analysis, Vol 21, Iss 4 (2016)
This paper analyzes the solution of fourth-order linear and nonlinear two point boundary value problems. The suggested method is quite innovative and it is completely different from all previous methods used for solving such kind of boundary value pr
Externí odkaz:
https://doaj.org/article/37fe866459bb4217b637a63ba4cb0ce0
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
Two numerical algorithms based on dual-Petrov-Galerkin method are developed for solving the integrated forms of high odd-order boundary value problems (BVPs) governed by homogeneous and nonhomogeneous boundary conditions. Two different choices of tri
Externí odkaz:
https://doaj.org/article/cfce2d6dad7d404896f73a320d130fe6
Publikováno v:
Entropy, Vol 18, Iss 10, p 345 (2016)
Herein, two numerical algorithms for solving some linear and nonlinear fractional-order differential equations are presented and analyzed. For this purpose, a novel operational matrix of fractional-order derivatives of Fibonacci polynomials was const
Externí odkaz:
https://doaj.org/article/1465febfd07941fa98c69304bd1be208
Publikováno v:
Mathematical Methods in the Applied Sciences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b3851fd73d1c17e6ee087e0c21b0ec9
https://doi.org/10.1002/mma.9343
https://doi.org/10.1002/mma.9343
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::110098f84d96203ef07d12024bd7f90a
https://doi.org/10.1016/j.apnum.2021.05.010
https://doi.org/10.1016/j.apnum.2021.05.010
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:9224-9236
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fadb4dfe609062390975fde767706763
https://doi.org/10.1002/mma.7347
https://doi.org/10.1002/mma.7347
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53f10ca126734e665de0d348224b18a6
https://doi.org/10.1515/ijnsns-2020-0124
https://doi.org/10.1515/ijnsns-2020-0124
Publikováno v:
Computer Modeling in Engineering & Sciences. 126:955-989
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5717b9eb67546963341f6ec9d4d10143
https://doi.org/10.32604/cmes.2021.013603
https://doi.org/10.32604/cmes.2021.013603