Multistep Newton-Picard Method for Nonlinear Differential Equations

被引：10

作者：

Wang, Yinkun ^{[1
]}

Ni, Guyan ^{[1
]}

Liu, Yicheng ^{[1
]}

机构：

[1] Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China

来源：

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS | 2020年 / 43卷 / 11期

关键词：

NUMERICAL-INTEGRATION; ITERATION METHOD; SOLVERS;

D O I：

10.2514/1.G005124

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

引用

页码：2148 / 2155

页数：8

共 50 条

[31] SOLUTION OF NONLINEAR DIFFERENTIAL-EQUATIONS WITH PICARD ITERANTS OF FIXED FORMS
TIRRI, S
AURELA, AM
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1989, 27 (01) : 33 - 54
[32] Nonlinear Volterra integro-differential equations incorporating a delay term using Picard iterated method
Segni, Sami
Guebbai, Hamza
Kamouche, Somia
Haddouche, Khawla
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (04) : 3235 - 3256
[33] Picard's iterative method for nonlinear multicomponent transport equations
Geiser, Juergen
COGENT MATHEMATICS, 2016, 3
[34] Vectorizing multistep methods for nonlinear Volterra integro-differential equations
Shaw, RE
INTERNATIONAL JOURNAL OF HIGH SPEED COMPUTING, 1996, 8 (02): : 137 - 144
[35] A MODIFIED MULTISTEP METHOD FOR NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS
BUTCHER, JC
JOURNAL OF THE ACM, 1965, 12 (01) : 124 - &
[36] NEWTON'S METHOD FOR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS
Wrzosek, Monika
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[37] ON COMPUTATION OF EIGENVALUES FOR DIFFERENTIAL-EQUATIONS BY NEWTON METHOD
NEHARI, Z
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 263 (02) : 397 - 409
[38] Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations
Xu, Xiaoyong
Zhou, Fengying
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (05) : 1885 - 1909
[39] Explicit multistep method for the numerical solution of stiff differential equations
Skvortsov L.M.
Computational Mathematics and Mathematical Physics, 2007, 47 (6) : 915 - 923
[40] An efficient method for fractional nonlinear differential equations by quasi-Newton's method and simplified reproducing kernel method
Xu, Minqiang
Niu, Jing
Lin, Yingzhen
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (01) : 5 - 14

← 1 2 3 4 5 →