TY - JOUR
T1 - Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations
AU - Singh, Randhir
AU - Guleria, Vandana
AU - Singh, Mehakpreet
N1 - Publisher Copyright:
© 2020 International Association for Mathematics and Computers in Simulation (IMACS)
PY - 2020/8
Y1 - 2020/8
N2 - In this paper, an efficient method for solving the nonlinear Emden–Fowler type boundary value problems with Dirichlet and Robin–Neumann boundary conditions is introduced. The present method is based on the Haar-wavelets and quasilinearization technique. The quasilinearization technique is adopted to linearize the nonlinear singular problem. Numerical solution of linear singular problem is obtained by the Haar wavelet method. The numerical study is further supported by examining thoroughly the convergence of the Haar wavelet method and the quasilinearization technique. In order to check the accuracy of the proposed method, the numerical results are compared with both existing methods and exact solutions.
AB - In this paper, an efficient method for solving the nonlinear Emden–Fowler type boundary value problems with Dirichlet and Robin–Neumann boundary conditions is introduced. The present method is based on the Haar-wavelets and quasilinearization technique. The quasilinearization technique is adopted to linearize the nonlinear singular problem. Numerical solution of linear singular problem is obtained by the Haar wavelet method. The numerical study is further supported by examining thoroughly the convergence of the Haar wavelet method and the quasilinearization technique. In order to check the accuracy of the proposed method, the numerical results are compared with both existing methods and exact solutions.
KW - Convergence analysis
KW - Doubly singular boundary value problem
KW - Generalized Emden–Fowler
KW - Haar wavelets
KW - Quasilinearization
UR - http://www.scopus.com/inward/record.url?scp=85081137863&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2020.02.004
DO - 10.1016/j.matcom.2020.02.004
M3 - Article
AN - SCOPUS:85081137863
SN - 0378-4754
VL - 174
SP - 123
EP - 133
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -