Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

In this article, we have explored the numerical solution of fourth order fractional boundary value problems, involving product terms, by means of quintic spline collocation method. The proposed numerical approach is based on non-polynomial quintic spline functions comprised of a trigonometric part a...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2019-05, Vol.349, p.393-407
Main Authors: Khalid, Nauman, Abbas, Muhammad, Iqbal, Muhammad Kashif
Format: Article
Language:English
Subjects:
Caputo’s derivatives
Fractional order differential equations
Non-polynomial quintic spline functions
Spline collocation method
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we have explored the numerical solution of fourth order fractional boundary value problems, involving product terms, by means of quintic spline collocation method. The proposed numerical approach is based on non-polynomial quintic spline functions comprised of a trigonometric part and polynomial part. The second and fourth order convergence of the presented algorithm has been discussed rigorously. Some test examples have been considered and the approximate results are found to be more accurate as compared to the other variants on the topic.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2018.12.066