Abstract
We consider a collocation method for the approximation of the solution of the nonlinear two-point boundary value problem y«(x) = f(x, y(x)), y(a) = A, y(b) = B, using splines of degree m≥3. The method which we shall use leads to a system of recurrence relations which can be solved by Newton's method. By obtaining asymptotic error bounds we verify a conjecture of Khalifa & Eilbeck, i.e. splines of even degree can give even better solutions than splines of odd degree in certain cases
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.
