Haar wavelet quasilinearization technique for doubly singular boundary value problems
It provides a numerical method for solving a class of challenging singular boundary value problems, but the improvement over existing methods is incremental.
The paper proposes a Haar wavelet quasilinearization technique for solving doubly singular boundary value problems, achieving second-order convergence and demonstrating accuracy on eight test problems.
The Haar wavelet based quasilinearization technique for solving a general class of singular boundary value problems is proposed. Quasilinearization technique is used to linearize nonlinear singular problem. Second rate of convergence is obtained of a sequence of linear singular problems. Numerical solution of linear singular prob- lems is obtained by Haar-wavelet method. In each iteration of quasilinearization technique, the numerical solution is updated by the Haar wavelet method. Conver- gence analysis of Haar wavelet method is discussed. The results are compared with the results obtained by the other technique and with exact solution. Eight singular problems are solved to show the applicability of the Haar wavelet quasilinearization technique.