A Note on the Numerical Solution for Fredholm Integral Equation of the Second Kind with Cauchy kernel | Science Publications

Journal of Mathematics and Statistics

M. Abdulkawi¹  Z. K. Eshkuvatov¹  N. M.A.N. Long¹ 

关键词: Integral equations;    Cauchy singular kernel;    Chebyshev polynomial approximations;   

DOI  :  10.3844/jmssp.2011.68.72

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: In this study, numerical solution for the Fredholm integral equation ofthe second kind with Cauchy singular kernel is presented. Approach: The Chebyshev polynomials ofthe second kind are used to approximate the unknown function. Results: Numerical results are given toshow the accuracy of the present numerical solution. Conclusion: The present numerical solution tothe Fredholm integral equation of the second kind with Cauchy kernel is accurate.

【 授权许可】

Unknown