A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation
محل انتشار: مجله ابرساختارها، دوره: 2، شماره: 1
سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 52
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شناسه ملی سند علمی:
JR_JHSMS-2-1_007
تاریخ نمایه سازی: 16 بهمن 1402
چکیده مقاله:
This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used to approximate the nonlinear Fredholm-Hammerstein integral and integro-differential equations. The main properties of HBC are presented. Also, the operational matrix of integration together with the Newton-Cotes nodes are applied to reduce the computation of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations into some algebraic equations. The efficiency and accuracy of the proposed method have been shown by three numerical examples.
کلیدواژه ها:
Nonlinear Fredholm-Hammerstein integral equation ، Block-pulse function ، Second kind Chebyshev polynomial ، Collocation method
نویسندگان
F. Mirzaee
Department of Mathematics, Faculty of Science, Malayer University, Malayer, ۶۵۷۱۹- ۹۵۸۶۳, Iran.
Elham Hadadiyan
Department of Mathematics, Faculty of Science, Malayer University, Malayer, ۶۵۷۱۹- ۹۵۸۶۳, Iran.