01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
An accurate and cost-efficient numerical approach to analyze the initial and boundary value problems of fractional multi-order
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Caputo fractional derivative · Cubic B-spline · Initial and boundary value problem · Operational matrix
سال
2018
مجله Computational and Applied Mathematics
پژوهشگران خسرو سایوند

چکیده

This paper proposes an cost-efficient method for the numerical solution of fractional differ- ential equations of multi-order. The suggested algorithm adopts the operational matrix of fractional derivative in term of Caputo sense using modified cubic B-spline functions. The new method leads to a system of algebraic equations that improves the solution accuracy and reduces the computational complexity. Several numerical examples illustrate the applicability of the proposed method.