EFFICIENT LEGENDRE DUAL-PETROV-GALERKIN METHODS FOR ODD-ORDER DIFFERENTIAL EQUATIONS

被引：3

作者：

Li, Shan ^{[1
]}

Yan, Shi-Mi ^{[1
]}

Wang, Zhong-Qing ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Sch Sci, Shanghai 200093, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Dual-Petrov-Galerkin spectral methods; Legendre polynomials; Sobolev bi-orthogonal basis functions; odd-order differential equations; numerical results; GENERALIZED LAGUERRE FUNCTIONS; SPECTRAL METHODS; DIRECT SOLVERS; 2ND-ORDER; 2ND;

D O I：

10.3934/dcdsb.2019239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Efficient Legendre dual-Petrov-Galerkin methods for solving odd-order differential equations are proposed. Some Sobolev bi-orthogonal basis functions are constructed which lead to the diagonalization of discrete systems. Accordingly, both the exact solutions and the approximate solutions can be represented as infinite and truncated Fourier-like series. Numerical results indicate that the suggested methods are extremely accurate and efficient, and suitable for the odd-order equations.

引用

页码：1543 / 1563

页数：21

共 50 条

[21] LEGENDRE-PETROV-GALERKIN CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Gao, Qiyi
Wu, Hua
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03): : 2246 - 2268
[22] OSCILLATION OF SOLUTIONS FOR ODD-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Candan, Tuncay
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[23] Eventually positive solutions of odd-order neutral differential equations
Ouyang, Z
Li, YK
Qing, MC
APPLIED MATHEMATICS LETTERS, 2004, 17 (02) : 159 - 166
[24] Coercive Solvability of Odd-Order Differential Equations and Its Applications
Muratbekov, M. B.
Muratbekov, M. M.
Ospanov, K. N.
DOKLADY MATHEMATICS, 2010, 82 (03) : 909 - 911
[25] Coercive solvability of odd-order differential equations and its applications
M. B. Muratbekov
M. M. Muratbekov
K. N. Ospanov
Doklady Mathematics, 2010, 82 : 909 - 911
[26] A singular boundary value problem for odd-order differential equations
Rachunková, I
Stanek, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) : 741 - 756
[27] Oscillation for a class of odd-order delay parabolic differential equations
Ouyang, ZG
Zhou, SF
Yin, FQ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 175 (02) : 305 - 319
[28] Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
Moaaz, Osama
Awrejcewicz, Jan
Muhib, Ali
MATHEMATICS, 2020, 8 (06)
[29] On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients
Sultanaev, Ya T.
Sagitova, A. R.
Mardanov, B., I
DIFFERENTIAL EQUATIONS, 2022, 58 (05) : 712 - 715
[30] New Results for Oscillation of Solutions of Odd-Order Neutral Differential Equations
Cesarano, Clemente
Moaaz, Osama
Qaraad, Belgees
Alshehri, Nawal A.
Elagan, Sayed K.
Zakarya, Mohammed
SYMMETRY-BASEL, 2021, 13 (06):

← 1 2 3 4 5 →