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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Author

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  • Umer Saeed
  • Mujeeb ur Rehman

Abstract

A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. In order to demonstrate the applicability of proposed method, we consider the various nonlinear boundary value problems.

Suggested Citation

  • Umer Saeed & Mujeeb ur Rehman, 2014. "Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:868934
    DOI: 10.1155/2014/868934
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    Cited by:

    1. Jator, S.N. & Mayo, D.C. & Omojola, M.T., 2021. "Block Hybrid Third Derivative Nyström type Method for Bratu’s equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 256-271.
    2. Nikooeinejad, Z. & Heydari, M. & Loghmani, G.B., 2022. "A numerical iterative method for solving two-point BVPs in infinite-horizon nonzero-sum differential games: Economic applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 404-427.

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