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Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method
Journal article   Open access  Peer reviewed

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

Ram Kishun Lodhi, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Ateq Alsaadi and Department of Applied Science, Symbiosis Institute of Technology, Symbiosis International University, Pune-412115, India
AIMS mathematics, Vol.7(4), pp.7257-7273
01/01/2022
DOI: https://doi.org/10.3934/math.2022405

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/math.2022405View
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