Numerical solution by Haar wavelet collocation method for a class of higher order linear and nonlinear boundary value problems

Abstract

In this paper, Haar wavelet collocation mechanism (HWCM) is developed for obtaining the solution of higher order linear and nonlinear boundary value problems. Mechanism is based on approximation of solution by Haar wavelet family. To tackle the nonlinearity in the problems, Quasilinearization technique is applied. Many examples are considered to prove the successful application of the mechanism developed for getting the highly accurate result. By using the HWCM, an approximate solution for higher order boundary value problems (HOBVPs) are obtained and compared with exact and numerical solutions available in the literature.