Convergence of the class of methods for solutions of certain sixth-order boundary value problems

K. FARAJEYAN; J. RASHİDİNİA; R. JALİLİAN

Article Details

Convergence of the class of methods for solutions of certain sixth-order boundary value problems

Authors:

K. FARAJEYAN | J. RASHİDİNİA | R. JALİLİAN

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 5, pp.835-849

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000452152

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

The Class of various order numerical methods based on non-polynomial spline have been developed for the solution of linear and non-linearsixth-order boundary value problems. We developed non-polynomial spline which contains a parameter ρρ\rho, act as the frequency of the trigonometric part of the spline function, when such parameter tends to zero the dened spline reduce into the septic polynomial spline, the consistency relation of non-polynomial spline derived in such a way that, to be fitted to approximate the solution of the given sixth-order boundary value problems. Boundary formulas are developed to associate with presented spline methods. Truncation errors are given, we developed the class of second, fourth, sixth and eight order methods. Convergence analysis has been proved. The obtained methods have been tested on nine examples, to illustrate practical usefulness of our approach. The results of our higher eight order method compare with the existing methods so far.

Article Details

Convergence of the class of methods for solutions of certain sixth-order boundary value problems

Authors: K. FARAJEYAN | J. RASHİDİNİA | R. JALİLİAN

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 5, pp.835-849

Document Type: Article

Publication Date: 9/2017

Document Language: English

Document ID (Org No.): 2000452152

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

K. FARAJEYAN | J. RASHİDİNİA | R. JALİLİAN

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 5, pp.835-849

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000452152

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X