Abstract
This article addresses the development and analysis of an efficient optimized hybrid block method for integrating general second order initial value problems (IVPs) of ordinary differential equations (ODEs). The construction of the method is based on a combination of two methodologies, namely hybrid and block that result in an efficient implicit numerical integrator. Further, an improved strategy is obtained considering its adaptive step-size formulation. Some numerical experiments have been carried out on solving some well-known problems existing in the literature with fixed and adaptive step-size implementation of the new scheme. Numerical data reveals that the new scheme is a good alternative to existing solvers with comparable properties.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.