Abstract
A finite element approach, based on cubic B-spline collocation, is presented for the numerical solution of aa generalized system of second order boundary value problems. The system is handled using an adaptive spline collocation approach constructed over uniform or non-uniform meshes. To tackle the case of nonlinearity, if it exists, an iterative scheme arising from Newton's method is employed. The rate of convergence is verified numerically to be of fourth-order. The efficiency and applicability of the method are demonstrated by applying it to a number of linear and nonlinear examples. The numerical solutions are compared with both analytical and other existing numerical solutions in the literature. The numerical results confirm that this method is superior when contrasted with other accessible approaches and yields more accurate solutions.
Sign-in/Register to access full text options 
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.
