A new iteration method for solving a class of Hammerstein type integral equations system
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 219
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شناسه ملی سند علمی:
JR_CMDE-3-4_001
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bound estimation of the new iterative method are also discussed. Finally, some numerical examples are given to compare the performance of the proposed method with the existing methods.
کلیدواژه ها:
Iterative method ، Nonlinear integral equations system ، Hammerstein integral equation ، Fixed point iteration ، Contraction operator
نویسندگان
Saeed Karimi
Department of Mathematics, Persian Gulf University, Bushehr ۷۵۱۶۹, Iran
Maryam Dehghan
Department of Mathematics, Persian Gulf University, Bushehr ۷۵۱۶۹, Iran
Fariba Takhtabnoos
Department of Mathematics, Persian Gulf University, Bushehr ۷۵۱۶۹, Iran