Results 91 to 100 of about 2,693 (191)

New spectral element method for the singular perturbation problem of second order

上海师范大学学报. 自然科学版
As the solution of singular perturbation problem of second order has a boundary layer, it is difficult to obtain ideal approximation results for traditional numerical methods.
LIU Zhipeng, TAO Dongya
doaj   +1 more source

Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]

Radioengineering, 2018
A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic, N. Stamenkovic, N. Stojanovic, N. Denic   +3 more
doaj  

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
doaj  

An Error Analysis Study for the Distributed-Order Time-Fraction Model Using an Efficient Numerical Method

Fractal and Fractional
In this paper, we propose a numerical scheme based on the shifted Legendre polynomials for solving the forced Korteweg–de Vries (fKdV) equation including a Caputo fractional operator of a distributed order. To obtain numerical solutions of these types of
Saeed Kosari, Hao Guan, MohammadHossein Derakhshan   +2 more
doaj   +1 more source

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

Известия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj   +1 more source

Predicting Longitudinal Traits Derived from High-Throughput Phenomics in Contrasting Environments Using Genomic Legendre Polynomials and B-Splines. [PDF]

G3 (Bethesda), 2019
Momen M, Campbell MT, Walia H, Morota G.
europepmc   +1 more source

Integrals of Legendre polynomials and approximations

CoRR
We derive some identities and relations and extremal problems and minimization and Fourier development involving of integral Legendre polynomials.
openaire   +2 more sources

Genetic analysis of milk production traits of Tunisian Holsteins using random regression test-day model with Legendre polynomials. [PDF]

Asian-Australas J Anim Sci, 2018
Ben Zaabza H, Ben Gara A, Rekik B.
europepmc   +1 more source

FUZZIFICATION OF LEGENDRE POLYNOMIALS

, 2018
In this paper, we have considered basic Legendre polynomials obtained from Rodrigue’s formula and observed the findings if we use fuzzy intervals citing the particular case of increasing order of the arguments and using triangular fuzzy number in the polynomials taken into consideration.
openaire   +2 more sources

Quantitative assessment of kidney split function and mean transit time in healthy patients using dynamic ¹⁸F-FDG PET/MRI studies with denoising and deconvolution methods making use of Legendre polynomials. [PDF]

EJNMMI Rep
Destine M, Seret A.
europepmc   +1 more source