Direct computation method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions: Degenerate and non-degenerate kernels

作者：

Highlights：

• A general form of the nonlinear Fredholm integro-differential equations under the mixed conditions is considered.

• Direct computation method is equipped with interpolation and Taylor series.

• A new error estimate is proved.

• Numerical and analytical results are compared with the some recent results.

摘要

•A general form of the nonlinear Fredholm integro-differential equations under the mixed conditions is considered.•Direct computation method is equipped with interpolation and Taylor series.•A new error estimate is proved.•Numerical and analytical results are compared with the some recent results.

论文关键词：45Jxx,Nonlinear Fredholm integro-differential equations,Ill-posed problems,Direct computation method,Mixed conditions,Degenerate and non-degenerate kernels

论文评审过程：Received 26 July 2014, Revised 26 October 2014, Available online 5 January 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2014.12.025