On some computational aspects of Hermite wavelets on a class of SBVPs arising in exothermic reactions

Abstract

We propose a new class of SBVPs which deals with exothermic reactions. We also propose four computationally stable methods to solve singular nonlinear BVPs by using Hermite wavelet collocation which are coupled with Newton's quasilinearization and Newton-Raphson method. We compare the results obtained with Hermite Wavelets with Haar wavelet collocation. The efficiency of these methods are verified by applying these four methods on Lane-Emden equations. Convergence analysis is also presented.

MRA, Quasilinearization, Newton Raphson, Haar Wavelets, Hermite Wavelets, Nonlinear Singular Boundary value problems