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

页码：33 / 42

页数：10

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