Obrechkoff methods having additional parameters for general second-order differential equations

Journal of Computational and Applied Mathematics

Volumn 79, Issue 2, 1997, Pages 167-182

  Sesappa Rai, A ^a   Ananthakrishnaiah, U ^b  

^a MANIPAL INSTITUTE OF TECHNOLOGY   (India)

^b NATIONAL INSTITUTE OF TECHNOLOGY KARNATAKA   (India)

Author keywords

Absolutely stable; Additive parameter; Initial value problems

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

INITIAL VALUE PROBLEMS; OBRECHKOFF METHODS;

DIFFERENTIAL EQUATIONS;

EID: 0043135151     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00132-X     Document Type: Article

References (11)

1. U. Ananthakrishnaiah, Adaptive methods for periodic initial value problems of second order differential equations, J. Comput. Appl. Math. 8 (1982) 101-104.
2. U. Ananthakrishnaiah, E-stable methods for exponentially decreasing solutions of second order initial value problems, BIT 25 (1985) 498-506.
3. U. Ananthakrishnaiah, A class of two-step P-stable methods for the accurate integration of second order periodic initial value problems, J. Comput. Appl. Math. 14 (1986) 455-459.
4. U. Ananthakrishnaiah, P-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems. Math. Comput. 49 (1987) 553-559.
5. M.M. Chawla, Superstable two-step methods for the numerical integration of general second order initial value problems, J. Comput. Appl. Math. 12 (1985) 217-220.
6. E. Hairer, Unconditionally stable methods for second order differentially equations, Numer. Math. 32 (1979) 373-379.
7. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations (Wiley, New York, 1962).
8. M.K. Jain, R.K. Jain and U. Ananthakrishnaiah, P-stable methods for periodic initial value problems for second order differential equations, BIT 19 (1979) 347-355.
9. M.K. Jain, R.K. Jain and U. Ananthakrishnaiah, Obrechkoff methods for periodic initial value problems for second order differential equations, J. Math. Phys. Sci. 14 (1981) 239-250.
10. A. Sesappa Rai and U. Ananthakrishnaiah, Adaptive methods for the direct numerical integration of y″ = f(t, y, y′), Utilitas Math. 47 (1995) 129-135.
11. A. Sesappa Rai and U. Ananthakrishnaiah, Additive parameters methods for the numerical integration of y″ = f(t, y, y′), J. Comput. Appl. Math. 67 (1996), 271-276.