The effectiveness of an adaptive solver for solving initial value problems in ordinary differential equations. (English. Chinese original) Zbl 0896.65049

Li, Wangyao

Chin. J. Numer. Math. Appl. 14, No. 2, 101-104 (1992); translation from J. Numer. Methods Comput. Appl. 12, No. 4, 254-257 (1991).

Summary: In order to identify the effectiveness of an adaptive solver for solving stiff problems in ordinary differential equations, seventy-two stiff problems given by W. H. Enright, T. E. Hull and B. Lindberg [BIT, Nordisk Tidskr. Inform.-behandl. 15, 10-48 (1975; Zbl 0301.65040)] were solved. The numerical tests show that the adaptive solver is dominant in comparison with C. W. Gear’s automatic code DIFSUB [Numerical initial value problems in ordinary differential equations (1971; Zbl 1145.65316)].

MSC:

65L05	Numerical methods for initial value problems involving ordinary differential equations
65Y20	Complexity and performance of numerical algorithms
34E13	Multiple scale methods for ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems

Keywords:

stiff systems; comparison of methods

Citations:

Zbl 0301.65040; Zbl 1145.65316

Software:

DIFSUB