TY - JOUR
T1 - Study of convergence of laguerre wavelet based numerical method for initial and boundary value bratu-type problems
AU - S. C. Shiralashetti and Kumbinarasaiah S
JO - Journal of Information and Computing Science
VL - 3
SP - 179
EP - 189
PY - 2024
DA - 2024/01
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22443.html
KW - Laguerre wavelet method, Bratu’s problem, Convergence method, Limit point. 

AB - (Received May 06 2018, accepted August 10 2018) 
Based on Laguerre wavelets, an efficient numerical method is proposed for the numerical solution of 
initial and boundary value Bratu-type problems arising in fuel ignition of the combustion theory and heat transfer. 
Convergence of the method for these kinds of problems is addressed in the form of theorems with proof. To illustrate 
the ability of the method is validated on test problems, numerical results are compared with exact and those from 
existing methods in the literature. The results demonstrate the accuracy and the efficiency of the Laguerre wavelet 
based numerical method.