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- Title
Generalized Adams-Type Second Derivative Methods for Stiff Systems of ODEs.
- Authors
Nwachukwu, G. C.; Mokwunyei, N. E.
- Abstract
In this paper, a family of second derivative generalized Adams-type methods (SDGAMs) is proposed. Here, a boundary value approach to the numerical solution of stiff initial value problems (IVPs) by means of second derivative linear multistep formulae (SDLMF) is presented. Stability analysis shows that these methods with order p = 2k + 2 for all values of the step-length k ≥ 1 are all 0v,k-v-stable and Av,k-v-stable which must be used with (v, k - v)- boundary conditions.
- Subjects
BOUNDARY value problems; STIFF equations (Differential equations); NUMERICAL analysis; NUMERICAL solutions to initial value problems; DIFFERENTIAL equations
- Publication
IAENG International Journal of Applied Mathematics, 2018, Vol 48, Issue 4, p88
- ISSN
1992-9978
- Publication type
Article