On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 189

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شناسه ملی سند علمی:

JR_CMDE-10-4_015

تاریخ نمایه سازی: 9 بهمن 1401

چکیده مقاله:

In this work, solving non-linear two-dimensional Hammerstein integral equations is considered by an iterative method of successive approximation. This method is an efficient approach based on a combination of the quadrature formula and the successive approximations method. Also, the convergence analysis and the numerical stability of the suggested method are studied. Finally, to survey the accuracy of the present method, some numerical experiments are given.

نویسندگان

Manochehr Kazemi

Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.

Mohammad Reza Doostdar

Department of mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran.

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