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

V. Antony Vijesh and K. Harish Kumar

Applied Mathematics and Computation, 2015, vol. 266, issue C, 1163-1176

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.

Keywords: Haar wavelet; Huxley equation; Legendre Wavelet; Quasilinearization; Parabolic partial differential equation; Newell–Whitehead–Segel equation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:1163-1176

DOI: 10.1016/j.amc.2015.05.139

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