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

Randhir Singh, Vandana Guleria and Mehakpreet Singh

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 174, issue C, 123-133

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.

Keywords: Doubly singular boundary value problem; Haar wavelets; Quasilinearization; Generalized Emden–Fowler; Convergence analysis (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:174:y:2020:i:c:p:123-133

DOI: 10.1016/j.matcom.2020.02.004

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