Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions
محل انتشار: مجله مدلسازی ریاضی، دوره: 10، شماره: 2
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 58
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شناسه ملی سند علمی:
JR_JMMO-10-2_012
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
The main target of this paper is to solve a system of two-dimensional Volterra integral equations (۲-DVIEs). Operational Matrices of two-dimensional hybrid of block-pulse functions and Legendre polynomials are applied to reduce these systems of integral equations to a system of algebraic equations. The main benefit of these basic functions is their efficiency in dealing with non-sufficiently smooth functions. An error bound is provided and some examples are prepared to verify the applicability of the offered numerical technique.
کلیدواژه ها:
System of two-dimensional Volterra integral equations ، two-dimensional hybrid functions ، oroduct Operational matrix ، operational matrices of integration
نویسندگان
Khosrow Maleknejad
School of Mathematics, Iran University of Science & Technology, Narmak, Tehran ۱۶۸۴۴, Iran
Maryam Shahabi
School of Mathematics, Iran University of Science & Technology, Narmak, Tehran ۱۶۸۴۴, Iran