Haar wavelet method for some nonlinear Volterra integral equations of the first kind

作者：

Highlights：

• Solving some nonlinear first kind Volterra integral equations using Haar wavelet.

• Haar wavelet method is simple and fast.

• Solved examples demonstrate the accuracy and efficiency of the present method.

• Present method gives better results than the numerical methods described in past.

• Necessary accuracy may be obtained by increasing the number of calculation points.

摘要

•Solving some nonlinear first kind Volterra integral equations using Haar wavelet.•Haar wavelet method is simple and fast.•Solved examples demonstrate the accuracy and efficiency of the present method.•Present method gives better results than the numerical methods described in past.•Necessary accuracy may be obtained by increasing the number of calculation points.

论文关键词：65R20,45G10,45D05,41A30,Nonlinear Volterra integral equation,Haar wavelet,Operational matrix

论文评审过程：Received 7 May 2014, Revised 22 June 2015, Available online 31 July 2015, Version of Record 15 August 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.07.022