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

作者：

Highlights：

• Finite difference free wavelets based quasilinearization methods developed for SPIBVP.

• Fisher, Huxley and Newell–Whitehead–Segel equations solved very efficiently.

• Comparison study provided for quasilinearization based on Haar and Legendre wavelets.

• Proposed approach performs better than the methods in the recent literature.

摘要

•Finite difference free wavelets based quasilinearization methods developed for SPIBVP.•Fisher, Huxley and Newell–Whitehead–Segel equations solved very efficiently.•Comparison study provided for quasilinearization based on Haar and Legendre wavelets.•Proposed approach performs better than the methods in the recent literature.

论文关键词：Haar wavelet,Huxley equation,Legendre Wavelet,Quasilinearization,Parabolic partial differential equation,Newell–Whitehead–Segel equation

论文评审过程：Received 20 January 2015, Revised 12 April 2015, Accepted 28 May 2015, Available online 2 July 2015, Version of Record 2 July 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.139