2017/11/29 by Randhir Singh, Singh, Randhir, Himanshu Gargyand +3
Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1711.10682
openalex publication_date 2017/11/29 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
The Haar wavelet based quasilinearization technique for solving a general\nclass of singular boundary value problems is proposed. Quasilinearization\ntechnique is used to linearize nonlinear singular problem. Second rate of\nconvergence is obtained of a sequence of linear singular problems. Numerical\nsolution of linear singular prob- lems is obtained by Haar-wavelet method. In\neach iteration of quasilinearization technique, the numerical solution is\nupdated by the Haar wavelet method. Conver- gence analysis of Haar wavelet\nmethod is discussed. The results are compared with the results obtained by the\nother technique and with exact solution. Eight singular problems are solved to\nshow the applicability of the Haar wavelet quasilinearization technique.\n