A Numerical Solution for ۲D-Nonlinear Fredholm Integral Equations Based on Hybrid Functions Basis
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 51
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شناسه ملی سند علمی:
JR_IJMAC-13-1_006
تاریخ نمایه سازی: 27 آبان 1402
چکیده مقاله:
This work considers a numerical method based on the ۲D-hybrid block-pulse functions and normalized Bernstein polynomials to solve ۲D-nonlinear Fredholm integral equations of the second type. These problems are reduced to a system of nonlinear algebraic equations and solved by Newton's iterative method along with the numerical integration and collocation methods. Also, the convergence theorem for this algorithm is proved. Finally, some numerical examples are given to show the effectiveness and simplicity of the proposed method.
کلیدواژه ها:
Fredholm integral equations ، collocation method ، Bivariate hybrid block-pulse functions ، Normalized Bernstein polynomials ، Convergence analysis
نویسندگان
Maryam Mohammadi
Islamic Azad University, South Tehran Branch, Tehran
A. Zakeri
Khajeh Nasir Toosi University of Technology
Majid Karami
Islamic Azad University, South Tehran Branch
Narges Taheri
Islamic Azad University, South Tehran Branch
Raheleh Nouraei
Islamic Azad University, South Tehran Branch