Abstract
This paper is concerned with a construction of a “variable” one-parameter cubic C 1-spline collocation method for solving the initial value problem (IVP)viz where the collocation point . The presented method will be shown to be strongly unstable if β ≤ 1/2. It turns out that the proposed method is a continuous extension of the A-stabilized version of Simpson's rule introduced in [1], if β = 1. Moreover, the method is of order three, for β ∈ (1/2, 1) and is of order four, if β = 1 and y ∈ C 5[0,b].
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.
