Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology

摘要

In this study, wavelet Galerkin method has been developed for solving nonlinear singular boundary value problems associated with physiology science. The quasilinearization technique is applied to reduce the given nonlinear problem to a sequence of linear problems. We modify the resulting set of differential equations at the singular point then treat this set of boundary value problems by using compactly supported cubic B-spline wavelets and Galerkin method. These wavelets are used as testing and weighting functions. The method is computationally attractive, and applications are demonstrated through illustrative examples.