title: Solving third-order boundary value problems with quartic splines.
abstract: In this article, we present a novel second order numerical method for solving third order boundary value problems using the quartic polynomial splines. We establish the convergence of the method. We present numerical experiments to demonstrate the efficiency of the method and validity of our second order method, which shows that present method gives better results.
authors.affiliation: Department of Mathematics, Dyal Singh College, University of Delhi, Lodhi Road, New Delhi, 110003 India.
authors.forename: P K
authors.initials: PK
authors.lastname: Pandey
keywords: Boundary-value problems; Finite-difference methods; Obstacle problems; Quartic polynomial splines