معرفي يك فرمول تقريب نقطه مياني جديدازمرتبه دوم براي تقريب مشتق كسري ريمان ليوويل وكاربردآن براي حل عددي معادله ديفرانسيل كابل

A New Second-Order Midpoint Approximation Formula for Rieman–Liouville Fractional Derivative an‎d Its Application to Cable Equation

رياضي كاربردي و علوم كامپيوتر

In this thesis, first a second-order numerical formula for approximating the fractional derivative at the step , is presented. Then, the presented approximation formula is successfully used to solve the one an‎d two–dimensional cable equations containing fractional derivatives. At the end of this thesis, some examplaes are provided to examine the efficiency an‎d accuracy of proposed method numerically.

3