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Research Article | Open Access

Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method

Ram Kishun Lodhi1, Saud Fahad Aldosary2, Kottakkaran Sooppy Nisar2( ), Ateq Alsaadi3
Department of Applied Science, Symbiosis Institute of Technology, Symbiosis International University, Pune-412115, India
Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
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Abstract

This study presents a quintic B-spline collocation method (QBSCM) for finding the numerical solution of non-linear Bratu-type boundary value problems (BVPs). The error analysis of the QBSCM is studied, and it provides fourth-order convergence results. QBSCM is applied on two numerical examples to exhibit the proficiency and order of convergence. Obtain results of the QBSCM are compared with other existing methods available in the literature.

Keywords

quintic B-spline collocation methodBratu-type problemserror analysisorder of convergence
CLC number: 34A34, 65L10

References

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 7257-7273
DOI: 10.3934/math.2022405

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Cite this article:
Lodhi RK, Aldosary SF, Nisar KS, et al. Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method. AIMS Mathematics, 2022, 7(4): 7257-7273. https://doi.org/10.3934/math.2022405

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Received: 10 December 2021
Revised: 19 January 2022
Accepted: 21 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)