مشخصات پژوهش

عنوان	An effective computational solver for fractal-fractional 2D integro-differential equations
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Fractal-fractional integro-differential equations · Mittag–Leffler kernel · Operational matrix · Chelyshkov polynomials · Convergence analysis.
چکیده	In this paper, we develop a computational approach for fractal-fractional integrodifferential equations (FFIDEs) in Atangana–Riemann–Liouville sense. This plan focuses on the Chelyshkov polynomials (ChPs) and the utilization of the Legendre– Gauss quadrature rule. The operational matrices (OMs) of integration, integer-order derivative and fractal-fractional-order derivative are calculated. Thesematrices in comparison to OMs existing in other methods are more accurate. The method consists of approximating the exiting functions in terms of basis functions. Using the provided OMs alongside the Legendre collocation points, the original problem is converted into a set of nonlinear algebraic equations containing unknown parameters. An error analysis is presented to demonstrate the convergence order of the approach.We demonstrate the effectiveness and reliability of the proposed technique by solving numerical examples.
پژوهشگران	یداله اردوخانی (نفر سوم)، سلمه صداقت (نفر دوم)، پریسا رحیم خانی (نفر اول)