A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 8، شماره 1 - شماره پیاپی 13، خرداد 2018، صفحه 1-18   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v8i1.60791

نویسندگان

D. Hamedzadeh¹؛ E. Babolian^{* 2}

¹Islamic Azad University, Tehran, Iran

²Islamic Azad University, Tehran,

چکیده

In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces. The Taylor series of the unknown function is used to remove the singularity and bases of reproducing kernel spaces are used to solve this equation. Efficiency of the proposed method is investigated through various examples.

کلیدواژه‌ها

Weakly singular kernel؛ Fredholm integral equations؛ Taylor series؛ Reproducing kernel space

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