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Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems

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  • Antony Vijesh, V.
  • Harish Kumar, K.

Abstract

In this paper, numerical methods based on quasilinearization and Haar and Legendre wavelets to solve a class of semi linear parabolic initial boundary value problem (SPIBVP) have been presented. The Haar and Legendre wavelet methods have been successfully combined with quasilinearization to solve SPIBVP efficiently. The presented numerical scheme has been illustrated using appropriate examples including Fisher equation and the obtained results show that the proposed numerical scheme is robust and easy to apply.

Suggested Citation

  • Antony Vijesh, V. & Harish Kumar, K., 2015. "Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 1163-1176.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:1163-1176
    DOI: 10.1016/j.amc.2015.05.139
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    Cited by:

    1. Antony Vijesh, V. & Harish Kumar, K., 2017. "Erratum to “Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems” [Appl. Math. Comput. 266 (2015) 1163–1176]," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 484-484.

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