IJPAM: Volume 110, No. 2 (2016)

Title

HYBRID CUBIC B-SPLINE METHOD FOR SOLVING
NON-LINEAR TWO-POINT BOUNDARY VALUE PROBLEMS

Authors

Ahmed Salem Heilat$^1$, Ahmad Izani Md. Ismail$^2$
$^{1,2}$School of Mathematical Sciences
Universiti Sains Malaysia
11800, Penang, MALAYSIA

Abstract

A method based on hybrid cubic B-spline method (HCBSM) is developed, analyzed and applied to solve second-order non-linear two-point boundary value problems. In this method, a free parameter, $\gamma$, plays an important role in producing accurate results. Tests on four examples and a comparison of the results with the results obtained using cubic B-spline, extended cubic B-spline and shooting methods indicated that HCBSM is a feasible and accurate method.

History

Received: June 26, 2016
Revised: October 15, 2016
Published: November 5, 2016

AMS Classification, Key Words

AMS Subject Classification: Key Words and Phrases: two-point boundary value problems, cubic b-spline, trigonometric cubic b-spline, hybrid cubic b-spline, quasilinearization

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How to Cite?

DOI: 10.12732/ijpam.v110i2.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 110
Issue: 2
Pages: 369 - 381


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