Title

Quintic Nonpolynomial Spline Method For The Solution Of A Second-Order Boundary-Value Problem With Engineering Applications

Keywords

Dirichlet and Neumann boundary conditions; Heat transfer; Quintic nonpolynomial spline; Spline functions; Two point boundary value problem

Abstract

Nonpolynomial quintic spline functions are used to develop a numerical algorithm for computing an approximation to the solution of a system of second order boundary value problems associated with heat transfer. We show that the approximate solutions obtained by our algorithm are better than those produced by other spline and domain decomposition methods. A comparison of our algorithm with nonpolynomial quadratic spline method is discussed with the help of two numerical examples. © 2011 Elsevier Ltd. All rights reserved.

Publication Date

8-1-2011

Publication Title

Computers and Mathematics with Applications

Volume

62

Issue

4

Number of Pages

1707-1714

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.camwa.2011.06.012

Socpus ID

80051789766 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80051789766

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