Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method-Reference-Cited by-同舟云学术

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

Published:2022 Issue:4 Volume:7 Page:7257-7273
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lodhi Ram Kishun, ,Aldosary Saud Fahad,Nisar Kottakkaran Sooppy,Alsaadi Ateq, ,

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference52 articles.

1. J. Jacobsen, K. Schmitt, The Liouville–Bratu–Gelfand problem for radial operators, J. Differ. Equ., 184 (2002), 283–298. https://doi.org/10.1006/jdeq.2001.4151

2. R. Jalilian, Non-polynomial spline method for solving Bratu's problem, Comput. Phys. Commun., 181 (2010), 1868–1872. https://doi.org/10.1016/j.cpc.2010.08.004

3. J. S. McGough, Numerical continuation and the Gelfand problem, Appl. Math. Comput., 89 (1998), 225–239. https://doi.org/10.1016/S0096-3003(97)81660-8

4. Y. Q. Wan, Q. Guo, N. Pan, Thermo-electro-hydrodynamic model for electrospinning process, Int. J. Nonlin. Sci. Num., 5 (2004), 5–8. https://doi.org/10.1515/IJNSNS.2004.5.1.5

5. R. Buckmire, Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem, Numer. Method. Part. Differ. Equ., 20 (2004), 327–337. https://doi.org/10.1002/num.10093

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel Picard–Ishikawa–Green's iterative scheme for solving third‐order boundary value problems;Mathematical Methods in the Applied Sciences;2024-02-22

2. Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method;International Journal of Modern Physics C;2024-01-30

3. Bernoulli wavelet technique in compution of solution of singular differential equation;AIP Conference Proceedings;2024

4. A novel B-spline collocation method for Hyperbolic Telegraph equation;AIMS Mathematics;2023

5. An efficient technique for approximated BVPs via the second derivative Legendre polynomials pseudo-Galerkin method: Certain types of applications;Results in Physics;2022-12