Title :
Parametric Quintic Spline Solution for Second Order Singularly Perturbed Boundary Value Problem
Author :
Bisht, Shilpi ; Khan, Riyaz A.
Author_Institution :
Dept. of Math., Integral Univ., Lucknow, India
Abstract :
In this paper, a non polynomial quintic spline approach for solving the singularly perturbed boundary value problem is derived. The proposed method is sixth order accurate at interior nodal points and fourth order accurate at the end points. Several numerical results are given to illustrate the efficiency of our method.
Keywords :
boundary-value problems; singularly perturbed systems; splines (mathematics); non polynomial quintic spline approach; parametric quintic spline solution; singularly perturbed boundary value problem; Boundary value problems; Differential equations; Equations; Finite wordlength effects; Silicon; Spline; Parametric quintic spline; boundary layers; singularly perturbed boundary value problems;
Conference_Titel :
Communication Systems and Network Technologies (CSNT), 2011 International Conference on
Conference_Location :
Katra, Jammu
Print_ISBN :
978-1-4577-0543-4
Electronic_ISBN :
978-0-7695-4437-3
DOI :
10.1109/CSNT.2011.130