Results 11 to 20 of about 4,584,642 (232)

Shifted Bernstein Polynomial-Based Dynamic Analysis for Variable Fractional Order Nonlinear Viscoelastic Bar

Fractal and Fractional
This study presents a shifted Bernstein polynomial-based method for numerically solving the variable fractional order control equation governing a viscoelastic bar.
Zhongze Li, Lixing Ma, Yiming Chen, Jingguo Qu, Yuhuan Cui, Lei Wang   +5 more
doaj   +2 more sources

Hybrid shifted polynomial scheme for the approximate solution of a class of nonlinear partial differential equations [PDF]

Songklanakarin Journal of Science and Technology (SJST)
This research focuses on the development of a streamlined numerical technique founded on the hybridization of two shifted polynomial basis functions to address a specific category of nonlinear Partial Differential Equations.
Adewale E. Adenipekun, Adeniyi S. Onanaye, Olawale J. Adeleke, Muideen O. Ogunniran   +3 more
doaj   +2 more sources

Structured matrix methods for computations on Bernstein basis polynomials [PDF]

, 2013
This thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it
Yang, Ning
core   +5 more sources

Generalised assumed strain curved shell finite elements (CSFE-sh) with shifted-Lagrange and applications on N-T’s shells theory

Curved and Layered Structures, 2020
We present a simple methodology to design curved shell finite elements based on Nzengwa-Tagne’s shell equations. The element has three degrees of freedom at each node.
Anyi Joseph Nkongho, Amba Jean Chills, Essola Dieudonné, Valery Ngayihi Abbe Claude, Momha Merlin Bodol, Nzengwa Robert   +5 more
doaj   +1 more source

A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems

Abstract and Applied Analysis, 2013
We extend the application of the Galerkin method for treating the multiterm fractional differential equations (FDEs) subject to initial conditions. A new shifted Legendre-Galerkin basis is constructed which satisfies exactly the homogeneous initial ...
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

A simple method for fabricating phase-shifted fibre Bragg gratings with flexible choice of centre wavelength [PDF]

, 2009
A simple technique for fabricating phase-shifted fibre Bragg gratings (PSFBGs) without the use of a phase-shifted phase mask is presented. Two, 3-mm long, standard fibre Bragg gratings (FBGs) were inscribed sequentially in singlemode fibre at the same
Ralph P. Tatam, Tatam, Ralph P., Chehura, Edmon, James, Stephen W., Stephen W. James, Edmon Chehura   +5 more
core   +1 more source

Stable numerical results to a class of time-space fractional partial differential equations via spectral method

Journal of Advanced Research, 2020
In this paper, we are concerned with finding numerical solutions to the class of time–space fractional partial differential equations:Dtpu(t,x)+κDxpu(t,x)+τu(t,x)=g(t,x ...
Kamal Shah, Fahd Jarad, Thabet Abdeljawad   +2 more
doaj   +1 more source

Hilbert Basis Theorem and Grobner Basis for Polynomial Ideals [PDF]

, 2020
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis concepts of the ideal theory and Hilbert Basis theorem for Polynomial ideals.
Sandar, Lwin Mar Htun
core   +1 more source

CONNECTION FORMULAS AND REPRESENTATIONS OF LAGUERRE POLYNOMIALS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS

Проблемы анализа, 2019
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
doaj   +1 more source

A simple and wavelength-flexible procedure for fabricating phase-shifted fibre Bragg gratings [PDF]

, 2010
A simple procedure for fabricating phase-shifted fibre Bragg gratings (PSFBGs) that does not require the use of a phase-shifted phase mask is presented.
Tatam, Ralph P., Stephen W James, Chehura, Edmon, James, Stephen W., Ralph P Tatam, Edmon Chehura   +5 more
core   +1 more source