Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative-Reference-Cited by-同舟云学术

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

Published:2022 Issue:9 Volume:7 Page:17403-17417
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Partohaghighi Mohammad¹,Akgül Ali²,Asad Jihad³,Wannan Rania⁴

Affiliation:

1. Department of Mathematics, University of Clarkson, New York, USA

2. Department of Mathematics, Art and Science Faculty, 56100 Siirt, Siirt university, Turkey

3. Department Of Physics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, Palestine

4. Department of Applied Mathematics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, Palestine

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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