Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative

Abstract

In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative.This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example.

Keywords

• optimization
• fractional inverse burger equation
• heydari-hosseininia derivative