Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Legendre's constant"'
Superconvergence of Legendre spectral projection methods for Fredholm–Hammerstein integral equations
Autor:
Moumita Mandal, Gnaneshwar Nelakanti
Publikováno v:
Journal of Computational and Applied Mathematics. 319:423-439
In this paper, we consider the multi-Galerkin and multi-collocation methods for solving the FredholmHammerstein integral equation with a smooth kernel, using Legendre polynomial bases. We show that Legendre multi-Galerkin and Legendre multi-collocati
Autor:
Yanping Chen, Yunxia Wei
Publikováno v:
Acta Mathematica Scientia. 37:1105-1114
This paper is concerned with obtaining theapproximate solution for Volterra-Hammerstein integral equation with a regular kernel. We choose the Gauss points associated with the Legendre weight function ω( x )=1 as the collocation points. The Legendre
Autor:
Constantin Milici, Gheorghe Drăgănescu
Publikováno v:
Journal of Applied Nonlinear Dynamics. 6:243-249
Autor:
Karl-Erik Thylwe, Patrick McCabe
Publikováno v:
Journal of Mathematical Chemistry. 55:1638-1648
A decomposition of Legendre polynomials into propagating angular waves is derived with the aid of an amplitude-phase method. This decomposition is compared with the ’Nussenzveig/Fuller’ so called near/far-side decomposition of Legendre polynomial
Publikováno v:
Progress in Fractional Differentiation and Applications. 3:93-102
Publikováno v:
Journal of Applied Science. 15:1-19
Publikováno v:
Applied Mathematics and Computation. 289:311-323
This study adopts the corrected Fourier series expansion method with only limited smooth degree to solve the Legendre equation with an arbitrary complex constant µ, and finds general solution for the intervals 0, 1 and -1, 0, which includes a logari
Publikováno v:
Computational and Applied Mathematics. 37:81-98
A new approach for the solution of Klein–Gordon equation using Legendre wavelet-based approximation method is presented. The properties of Legendre wavelets are used to reduce the problem to the solution of system of algebraic equations. Usually $$
Autor:
M. A. Elsayed, M. A. Abdou
Publikováno v:
British Journal of Mathematics & Computer Science. 12:1-10
DOI: 10.9734/BJMCS/2016/21984 Editor(s): (1) Feliz Manuel Minhos, Professor, Department of Mathematics, School of Sciences and Technology, University of Evora, Portugal. Reviewers: (1) Ana Magnolia Marin Ramirez, Cartagena University, Colombia. (2) G
Autor:
Xiaoyang Zheng, Zhengyuan Wei
Publikováno v:
Applied Mathematics. :694-700
This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces and by norms and , respectively. These estimate results are valuable