A NUMERICAL METHOD FOR DIFFERENTIAL EQUATIONS OF SECOND ORDER

被引：0

作者：

Cui, Douxing ^{[1
]}

Huang, Tian-Yi ^{[2
]}

机构：

[1] Chinese Acad Sci, Changchun Artificial Satellite Observ, Changchun, Kirin, Peoples R China

[2] Nanjing Univ, Dept Astron, Nanjing 210008, Peoples R China

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1993年 / 55卷 / 04期

关键词：

Numerical integration; Runge-Kutta-Nystrom methods;

D O I：

10.1007/BF00692997

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new algorithm of order five is presented for the solution of the initial value problem where the system of ordinary differential equations is of second order and does not contain the first derivative.

引用

页码：405 / 409

页数：5

共 50 条

[1] A method for fast numerical solution of differential equations of second order
Madelung, E.
ZEITSCHRIFT FUR PHYSIK, 1931, 67 (7-8): : 516 - 518
[2] Numerical method and convergence order for second-order impulsive differential equations
Liangcai Mei
Hongbo Sun
Yingzhen Lin
Advances in Difference Equations, 2019
[3] Numerical method and convergence order for second-order impulsive differential equations
Mei, Liangcai
Sun, Hongbo
Lin, Yingzhen
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[4] Numerical approximation for singular second order differential equations
Benko, D.
Biles, D. C.
Robinson, M. P.
Spraker, J. S.
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) : 1109 - 1114
[5] A new numerical method for solving the general form of the second order partial differential equations
Anjidani, M.
Effati, S.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1087 - 1093
[6] Numerical methods for second-order stochastic differential equations
Burrage, Kevin
Lenane, Ian
Lythe, Grant
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (01): : 245 - 264
[7] NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS OF SECOND-ORDER
HEIDT, M
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1973, 53 (04): : T198 - T198
[8] Numerical Solutions of Second Order Iterative Ordinary Differential Equations
Podisuk, Maitree
Udomchalermpat, Sarud
SOCIAL AND BEHAVIORAL SCIENCES SYMPOSIUM, 2014, 88 : 196 - 204
[9] An integration method for second order linear differential equations
Ikeda, Y
MATHEMATISCHE ZEITSCHRIFT, 1925, 22 : 16 - 25
[10] A SECOND-ORDER NUMERICAL METHOD FOR THE AGGREGATION EQUATIONS
Carrillo, Jose A.
Fjordholm, Ulrik S.
Solem, Susanne
MATHEMATICS OF COMPUTATION, 2021, 90 (327) : 103 - 139

← 1 2 3 4 5 →