Abstract
A zero-stable block method for solving fourth order initial value problems of ordinary differential equations directly is proposed. Interpolation and collocation techniques are employed in developing the method. Power series approximate is used as a basis function where its fourth derivative is collocated at all the grid points within the specified interval. Furthermore, the properties of the method developed, that is, zero-stability, consistency, convergence, order and error constant are established. The new method performs better than the existing methods in terms of accuracy.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
