Results 101 to 110 of about 1,847 (220)

New operational matrices of orthogonal Legendre polynomials and their operational

Journal of Taibah University for Science, 2019
Many conventional physical and engineering phenomena have been identified to be well expressed by making use of the fractional order partial differential equations (FOPDEs).
Imran Talib, Cemil Tunc, Zulfiqar Ahmad Noor   +2 more
doaj   +1 more source

Error Characteristic of the Fourier–Legendre Method [PDF]

, 2016
Error characteristics of the Fourier expansion of the Legendre polynomials are examined in the computation of the Gaussian latitudes and weights and in the Fourier– Legendre scaling factor for associated Legendre functions.
榎本, 剛
core  

Orthogonal polynomials satisfying fourth order differential equations [PDF]

, 1981
SynopsisThese polynomials, which are intimately connected with the Legendre, Laguerre and Jacobi polynomials, are orthogonal with respect to Stieltjes weight functions which are absolutely continuous on (− 1, 1), (0, ∞) and (0, 1), respectively, but ...
Allan M. Krall
core   +1 more source

One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs

Advances in Difference Equations, 2006
The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q. Essentially, the associated characteristic polynomial must have constant type for q ∈ ℂ-. Usually
Pandolfi R, Trigiante D, Aceto L
doaj  

On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials [PDF]

, 2000
Self-similarity properties of the coefficient patterns of the so-called m-Carlitz sequences of polynomials are considered. These properties are coded in an associated fractal set – the rescaled evolution set. We extend previous results on linear cellular
Skordev, G., Peitgen, H.-O., von Haeseler, F.   +2 more
core   +1 more source

An efficient collocation method based on Legendre and Romanovski polynomials for solving Riesz distributed fractional differential equations

Alexandria Engineering Journal
In this article, we provide effective numerical solutions with high accuracy and exponential convergence for Riesz distributed fractional differential equations.
Ammar Lachin, M.A. Abdelkawy, Saratha Sathasivam   +2 more
doaj   +1 more source

Moments of the weighted Cantor measures

Demonstratio Mathematica, 2019
Based on the seminal work of Hutchinson, we investigate properties of α-weighted Cantor measures whose support is a fractal contained in the unit interval.
Harding Steven N., Riasanovsky Alexander W. N.   +1 more
doaj   +1 more source

Analytical results for a Bessel function times Legendre polynomials class integrals [PDF]

, 2015
When treating problems of vector diffraction in electromagnetic theory, the evaluation of the integral involving Bessel and associated Legendre functions is necessary.
Cesar, CL, Rodriguez, E, Cruz, CHB, Neves, AAR, Barbosa, LC, Fontes, A, Padilha, LA   +6 more
core   +1 more source

Legendre Polynomials are Associated in the Schrodinger Polar Equation of Helium Ions

Jurnal Penelitian Pendidikan IPA
The helium ion is one of the ions classified as a hydrogenic atom because it has only one electron in its outer orbital so that the helium ion problem can be solved using the Schrodinger equation approach. The Schrodinger equation of the polar part of the helium ion can be solved by the associated legendary polynomial function, .
Supriadi, Bambang, Krisnawanto, Eryna Dwicahyaning, Wahyudianti, Ratih, Fathorrosi, Mohammad, Hamdi, Muhammad Najih, Rahayu, Eka Citra, Alivia, Haniyah   +6 more
openaire   +1 more source

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets [PDF]

We present novel Markov-type and Nikolskii-type inequalities for multivariate polynomials associated with arbitrary downward closed multi-index sets in any dimension.
Migliorati, Giovanni
core   +1 more source