Abstract: The diversity of adopting different step by step approach when developing block methods of the form is quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differential equations. The LBM algorithm is validated by recovering certain existing k-step block methods in literature. Likewise, the computational complexity of the LBM algorithm is presented.
Oluwaseun Adeyeye and Zurni Omar, 2018. New Linear Block Method for Third Order Ordinary Differential Equations. Journal of Engineering and Applied Sciences, 13: 4913-4916.