30 اردیبهشت 1403
منيره نصرتي

منیره نصرتی

مرتبه علمی: دانشیار
نشانی: بناب- دانشگاه بناب
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 04137745000-1650
دانشکده: دانشکده علوم پایه
گروه: گروه ریاضی و علوم کامپیوتر

مشخصات پژوهش

عنوان
Triangular functions in solving Weakly Singular Volterra integral equations
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
triangular functions, Abel integral equation, operational matrices, error analysis, triangular functions, Abel integral equation, operational matrices,, error analysis
پژوهشگران منیره نصرتی (نفر اول)، حجت افشاری (نفر دوم)

چکیده

In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method does not need any integration for obtaining the constant coefficients. The method is computationally attractive, and applications are demonstrated through illustrative examples.