학술논문
Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs
Document Type
Original Paper
Source
Mathematical Sciences. 18(1):41-54
Subject
Language
English
ISSN
2008-1359
2251-7456
2251-7456
Abstract
A novel technique has been introduced to solve the Emden–Fowler equations. It has been derived from the Taylor wavelets collocation method. The proposed scheme has been successfully implemented in order to solve the singular equations. The singular problem converts to a system of algebraic equations that can be solved numerically. Moreover, the technique is very effective to remove the strong singularity point at x=0. The numerical experiments have been checked out with the exact and approximate solutions that have been achieved by others including the Adomian decomposition method (Wazwaz in Appl Math Comput 166:638–651, 2005), Modified Homotopy Perturbation Method (Singh et al. J Math Chem 54(4):918–931, 2016). Also, the error analysis of the technique has been considered.