A robust computational analysis of residual power series involving general transform to solve fractional differential equations

被引：16
作者：
Khirsariya, Sagar R. [1 ]
Chauhan, Jignesh P. [2 ]
Rao, Snehal B. [3 ]
机构：
[1] Marwadi Univ, Dept Math, Rajkot, Gujarat, India
[2] Charotar Univ Sci & Technol CHARUSAT, PD Patel Inst Appl Sci, Dept Math Sci, Anand 388421, Gujarat, India
[3] Maharaja Sayajirao Univ Baroda, Fac Technol & Engn, Dept Appl Math, Vadodara 360001, Gujarat, India
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2024年 / 216卷
关键词：
Caputo fractional derivative; General transform; Residual power series method; Gas dynamics equation; Drainage equation; ADOMIAN DECOMPOSITION METHOD; WAVE SOLUTIONS; ALGORITHM; DYNAMICS; HYBRID;
D O I：
10.1016/j.matcom.2023.09.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we provide a new semi-analytical approach, General Residual Power Series Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple and effective for finding an accurate and approximate solution to linear and nonlinear FDEs. Furthermore, the graphical and numerical results are described in various fractional orders. The solution obtained by GRPSM is compared with Adomian decomposition and Homotopy analysis transform method. We have solved fractional ordered gas dynamics equations and drainage equations using GRPSM, to show the applicability and simplicity of this method. (c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：168 / 186
页数：19
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