IMPLICIT-EXPLICIT SECOND DERIVATIVE LMM FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS
IMPLICIT-EXPLICIT SECOND DERIVATIVE LMM FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS
S. E. OGUNFEYITIMI(DEPARTMENT OF MATHEMATICS, UNIVERSITY OF BENIN); M. N. O. IKHILE(DEPARTMENT OF MATHEMATICS, UNIVERSITY OF BENIN)
25권 4호, 224~261쪽
초록
The interest in implicit-explicit (I M EX ) integration methods has emerged as an alternative for dealing in a computationally cost-effective way with stiff ordinary differen- tial equations arising from practical modeling problems. In this paper, we introduce implicit- explicit second derivative linear multi-step methods (I M EX SDLMM) with error control. The proposed I M EX SDLMM is based on second derivative backward differentiation formu- las (SDBDF) and recursive SDBDF. The I M EX second derivative schemes are constructed with order p ranging from p = 1 to 8. The methods are numerically validated on well-known stiff equations.
Abstract
The interest in implicit-explicit (I M EX ) integration methods has emerged as an alternative for dealing in a computationally cost-effective way with stiff ordinary differen- tial equations arising from practical modeling problems. In this paper, we introduce implicit- explicit second derivative linear multi-step methods (I M EX SDLMM) with error control. The proposed I M EX SDLMM is based on second derivative backward differentiation formu- las (SDBDF) and recursive SDBDF. The I M EX second derivative schemes are constructed with order p ranging from p = 1 to 8. The methods are numerically validated on well-known stiff equations.
- 발행기관:
- 한국산업응용수학회
- 분류:
- 수학