Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 113
A Collocation Method For Solving Boundary Value Problems Using A Cubic Spline Quasi-interpolant
Afaf Rahouti, Abdelhafid Serghini
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 14, 2022
March 03, 2107
April 15, 2107

Abstract: Cubic spline collocation method based on quasi-interpolant is used to approximate solutions of second-order boundary value problems. We describe super-convergent quasi-interpolant of degree three and we give the associated spline collocation method for such problems which provides a very interesting accurate approximation. The proposed method allows to approximate the solution as well as its first and second derivatives at different values of xi, i=0,…,n, with an optimal order of convergence. Numerical results verify the order of convergence predicted by the analysis. This process has a ...