مشخصات پژوهش

عنوان	An algorithmic exploration of variable order fractional partial integro-differential equations via hexic shifted Chebyshev polynomials
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Partial integro differential equation, Variable-order fractional calculus, Collocation method, Convergence analysis
چکیده	The focus of this investigation centers on the formulation of a novel spectral method deployed to numerically solve partial integro-differential equations that possess memory features. The approach leverages the hexic shifted Chebyshev polynomials, and addresses the nonlinearity of the computational output using iterative methods. A comprehensive explanation of the methodology is presented, and a thorough convergence analysis is conducted. This technique has the capacity to be effortlessly modified and used to solve a plethora of linear and nonlinear issues, while minimizing computational time. Ultimately, the effectiveness of this novel strategy is demonstrated through the successful resolution of two exemplary problems. The findings of this study suggest that this spectral approach holds significant promise for solving partial integro-differential equations.
پژوهشگران	آرمان دبیری (نفر چهارم)، بهروز پارسا مقدم (نفر سوم)، صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)