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

Nauman Khalid, Muhammad Abbas and Muhammad Kashif Iqbal

Applied Mathematics and Computation, 2019, vol. 349, issue C, 393-407

Abstract: 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.

Keywords: Non-polynomial quintic spline functions; Spline collocation method; Fractional order differential equations; Caputo’s derivatives (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:393-407

DOI: 10.1016/j.amc.2018.12.066

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