Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations

Randhir Singh, Vandana Guleria, Mehakpreet Singh

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)123-133
Number of pages11
JournalMathematics and Computers in Simulation
Volume174
DOIs
Publication statusPublished - Aug 2020

Keywords

  • Convergence analysis
  • Doubly singular boundary value problem
  • Generalized Emden–Fowler
  • Haar wavelets
  • Quasilinearization

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