STABILITY ANALYSIS AND NUMERICAL IMPLEMENTATION OF THE THIRD-ORDER FRACTIONAL PARTIAL DIFFERENTIAL EQUATION BASED ON THE CAPUTO FRACTIONAL DERIVATIVE

被引：4
|
作者：
Rasheed, Sarbast Kamal [1 ]
Modanli, Mahmut [2 ]
Abdulazeez, Sadeq Taha [1 ,3 ]
机构：
[1] Univ Duhok, Coll Basic Educ, Dept Math, Duhok, Iraq
[2] Harran Univ, Fac Arts & Sci, Dept Math, Sanliurfa, Turkiye
[3] Nawroz Univ, Coll Sci, Dept Comp Sci, Duhok, Iraq
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2023年 / 22卷 / 03期
关键词：
Theta difference method; Caputo fractional derivative; third-order fractional partial differential equation; stability; approximate solution;
D O I：
10.17512/jamcm.2023.3.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper examines a third-order fractional partial differential equation (FPDE) in the Caputo sense. The Theta difference method (TDM) is utilized to investigate the problem, and a first-order difference scheme is developed. Stability estimates are obtained by applying the Von Neumann analysis method. A test problem is presented as an application, and numerical results are obtained using Matlab software. Error estimates, as well as exact and approximate solutions are presented in a data analysis table. The simulation results are shown through error analysis tables and figures.
引用
收藏
页码：33 / 42
页数：10
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