Study of convergence of laguerre wavelet based numerical method for initial and boundary value bratu-type problems

Abstract

(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.