18 خرداد 1402
سميه نعمتي

سمیه نعمتی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 01135302419
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان An Efficient Operational Matrix Method for Solving a Class of Two-Dimensional Singular Volterra Integral Equations
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Two-dimensional singular Volterra integral equations, Riemann-Liouville integral operator, Modification of hat functions, Operational matrix, Two-dimensional singular Volterra integral equations
مجله Journal of Mathematical Sciences and Modelling
شناسه DOI -------------
پژوهشگران سمیه نعمتی (نفر اول)

چکیده

In this paper, we consider a spectral method to solve a class of two-dimensional singular Volterra integral equations using some basic concepts of fractional calculus. This method uses a modification of hat functions for finding a numerical solution of the considered equation. Some properties of the modification of hat functions are presented. The main contribution of this work is to introduce the fractional order operational matrix of integration for the considered basis functions. Making use of the Riemann-Liouville fractional integral operator helps us to reduce the main problem to a system of linear algebraic equations which can be solved easily. After that, error analysis of the method is discussed. Finally, numerical examples are included to confirm the accuracy and applicability of the suggested method.