On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh

被引：7

作者：

Mohanty, R. K. ^{[1
]}

McKee, Sean ^{[2
]}

机构：

[1] South Asian Univ, Dept Appl Math, New Delhi 110021, India

[2] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 45卷

关键词：

Initial value problems; Variable mesh; Two-step explicit method; Damped wave equation; Region of absolute stability; Interval of periodicity; Interval of weak stability; Superstability; DIFFERENTIAL-EQUATIONS; PARAMETERS;

D O I：

10.1016/j.aml.2015.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two novel two-step explicit methods for the numerical solution of the second order initial value problem on a variable mesh. In the case of a constant mesh the method is superstable in the sense of Chawla (1985). Numerical experimentation is provided to verify the stability analysis. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：31 / 36

页数：6

共 19 条

[1] Britz D., 2005, LECT NOTES PHYS, V666
[2] UNCONDITIONALLY STABLE NOUMEROV-TYPE METHODS FOR 2ND ORDER DIFFERENTIAL-EQUATIONS
CHAWLA, MM
[J]. BIT, 1983, 23 (04): : 541 - 542
[3] SUPERSTABLE 2-STEP METHODS FOR THE NUMERICAL-INTEGRATION OF GENERAL 2ND ORDER INITIAL-VALUE PROBLEMS
CHAWLA, MM
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1985, 12-3 (MAY) : 217 - 220
[4] Dahlquist G., 1978, BIT (Nordisk Tidskrift for Informationsbehandling), V18, P133, DOI 10.1007/BF01931689
[5] UNCONDITIONALLY STABLE METHODS FOR 2ND ORDER DIFFERENTIAL-EQUATIONS
HAIRER, E
[J]. NUMERISCHE MATHEMATIK, 1979, 32 (04) : 373 - 379
[6] Jain MK., 2014, NUMERICAL SOLUTION D
[7] King A., 2003, DIFF EQUAT+
[8] Lambert J.D., 1991, NUMERICAL METHODS OR, V146
[9] LAMBERT JD, 1976, J I MATH APPL, V18, P189
[10] Lambert JD., 1973, Computational methods in ordinary differential equations

← 1 2 →