1403/01/10
حسین جعفری

حسین جعفری

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 2466

مشخصات پژوهش

عنوان
Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Variable-order fractional calculus Quadratic integro-differential equation, Sixth-kind Chebyshev polynomials, Operational matrix, Convergence analysis
سال
2020
مجله JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
شناسه DOI
پژوهشگران Afshin Babaei ، Hossein Jafari ، ُSeddighe Banihashemi

چکیده

In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integro-differential equations (V-OFNQIDEs). The operational matrix of variable order fractional derivative for sixth-kind Chebyshev polynomials is derived and then, a collocation approach is employed to reduce the V-OFNQIDE to a system of nonlinear algebraic equations. Convergence analysis of the proposed method is evaluated and the rate of convergence is established. Finally, some numerical test examples are investigated to validate the accuracy and robustness of the proposed approach.