Open AccessNumerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method
Author(s) -
Ram Kishun Lodhi,
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Saud Fahad Aldosary,
Kottakkaran Sooppy Nisar,
Ateq Alsaadi,
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Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022405
Subject(s) - mathematics , collocation (remote sensing) , collocation method , quintic function , boundary value problem , convergence (economics) , b spline , type (biology) , orthogonal collocation , mathematical analysis , spline (mechanical) , boundary (topology) , numerical analysis , nonlinear system , computer science , differential equation , physics , ordinary differential equation , quantum mechanics , machine learning , economic growth , economics , biology , thermodynamics , ecology
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.