Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques

S Qureshi, H Ramos, A Soomro, OA Akinfenwa… - … and Computers in …, 2024 - Elsevier
In this study, an optimal L-stable time-efficient hybrid block method with a relative measure
of stability is developed for solving stiff systems in ordinary differential equations. The …

Runge-Kutta and rational block methods for solving initial value problems

S Mungkasi, A Christian - Journal of Physics: Conference Series, 2017 - iopscience.iop.org
Three methods to solve initial value problems are considered. The methods are the first
order Euler's, second order Heun's, and rational block methods. The Euler's and Heun's …

[PDF][PDF] On nonlinear methods for stiff and singular first order initial value problems

AO Adesanya, TP Pantuvo, D Umar - Nonlinear Analysis and …, 2018 - researchgate.net
This paper considers development of nonlinear method by interpolation and collocation of
inverse polynomial approximate solution to give systems of equations, solving for the …

[引用][C] RATIONAL BLOCK METHOD FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS

SMS Alemu, MPD Tefera, GPD Alemayehu - 2020 - HARAMYA UNIVERSITY