TY - CHAP AU - Kamoh Nathaniel AU - Kumleng Geoffrey AU - Sunday Joshua ED - Bruno Carpentieri Y1 - 2021-09-08 PY - 2021 T1 - Continuous One Step Linear Multi-Step Hybrid Block Method for the Solution of First Order Linear and Nonlinear Initial Value Problem of Ordinary Differential Equations N2 - Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics. BT - Recent Developments in the Solution of Nonlinear Differential Equations SP - Ch. 5 UR - https://doi.org/10.5772/intechopen.95619 DO - 10.5772/intechopen.95619 SN - 978-1-83968-657-3 PB - IntechOpen CY - Rijeka Y2 - 2024-04-19 ER -