AAM  >> Vol. 5 No. 2 (May 2016)

    A New Method for Solving a Hammerstein Integral Equation of the Second Kind

  • 全文下载: PDF(390KB) HTML   XML   PP.184-191   DOI: 10.12677/AAM.2016.52025  
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伍芳芳,钟献词,黄琼敖:广西大学数学与信息科学学院,广西 南宁

第二类Hammerstein积分方程近似解收敛性和误差分析Hammerstein Integral Equation of the Second Kind Approximate Solution Convergence and Error Estimate


A nonlinear Hammerstein integral equation of the second kind is investigated in the present paper. The uniqueness of solution is considered by using the fixed point theorem in Banach spaces. A new numerical method is proposed by using the integral mean value theorem and the idea of piecewise approximation. An approximate solution is made and its convergence and error estimate are fur-ther analyzed. Numerical results are carried out to verify the feasibility and novelty of the proposed solution procedures.

伍芳芳, 钟献词, 黄琼敖. 第二类Hammerstein积分方程的一种新解法[J]. 应用数学进展, 2016, 5(2): 184-191. http://dx.doi.org/10.12677/AAM.2016.52025


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