A Class of Explicit Integrators with o-grid Interpolation for Solving Non-linear Systems of First Order ODEs
U. W. Sirisena, S. I. Luka, S. Y. Yakubu
Journal of Advances in Mathematics and Computer Science · pp. 106–118 · Published 13 Jun 2020
10.9734/jamcs/2020/v35i330263Abstract
This research work is aimed at constructing a class of explicit integrators with improved stability and accuracy by incorporating an off-gird interpolation point for the purpose of making them effcient for solving stiff initial value problems. Accordingly, continuous formulations of a class of hybrid explicit integrators are derived using multi-step collocation method through matrix inversion technique, for step numbers k = 2; 3; 4: The discrete schemes were deduced from their respective continuous formulations. The stability and convergence analysis were carried out and shown to be A(α)-stable and convergent respectively. The discrete schemes when implemented as block integrators to solve some non-linear problems, it was observed that the results obtained compete favorably with the MATLAB ode23 solver.
Cited by 1
Sunday Izang Luka, Wipuni U. Sirisena, O. Adedire · Journal of Applied Mathematics and Physics · 2026
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