U. W. Sirisena

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 · 2020

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...

Open access Research Article 10.9734/jamcs/2020/v35i330263

Solving Delay Differential Equations Using Reformulated Block Backward Differentiation Formulae Methods

U. W. Sirisena & S. Y. Yakubu · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, the conventional backward differentiation formulae methods for step numbers k = 3 and 4 were reformulated by shifting them one-step backward to produce two and three approximate solutions respectively, in a step when implemented in block form. The derivation of the...

Open access Research Article 10.9734/jamcs/2019/v32i230139