Toward a new algorithm for systems of fractional differential-algebraic equations

被引：0

作者：

Jaradat, H.M. ^{[1
]}

Zurigat, M. ^{[1
]}

Al-Shara', Safwan ^{[1
]}

Katatbeh, Qutaibeh ^{[2
]}

机构：

[1] Jaradat, H.M.

[2] Zurigat, M.

[3] Al-Shara', Safwan

[4] Katatbeh, Qutaibeh

来源：

Jaradat, H.M. | 1600年 / Forum-Editrice Universitaria Udinese SRL卷 / 32期

关键词：

Differential equations - Numerical methods - Algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the development of an efficient algorithm for the analytic solutions of systems of fractional differential -algebraic equations (FDAE). The proposed algorithm is an elegant combination of the Laplace transform method (LTM) with the homotopy analysis method (HAM). The biggest advantage of the Laplace homotopy analysis method (LHAM) over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms. Numerical examples are examined to highlight the significant features of this method. © 2014, Forum-Editrice Universitaria Udinese SRL. All rights reserved.

引用

页码：579 / 594

共 50 条

[41] Numerical solution of linear differential-algebraic systems of partial differential equations
S. B. Gaidomak
Computational Mathematics and Mathematical Physics, 2015, 55 : 1501 - 1514
[42] On the Application of Laplace Transform to Fractional Differential-Algebraic Systems with Delays
Zaczkiewicz, Zbigniew
2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 498 - 502
[43] Numerical solution of linear differential-algebraic systems of partial differential equations
Gaidomak, S. B.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (09) : 1501 - 1514
[44] A new kernel-based approach for solving general fractional (integro)-differential-algebraic equations
Taheri, Tayebeh
Aghaei, Alireza Afzal
Parand, Kourosh
ENGINEERING WITH COMPUTERS, 2024,
[45] Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems
Mohammad, Susan H.
Mohammed Al-Rozbayani, Abdulghafor
JOURNAL OF APPLIED MATHEMATICS, 2024, 2024
[46] Observer design for nonlinear systems described by differential-algebraic equations
Yamashita, Y
Kidane, N
Nishitani, H
PROCESS SYSTEMS ENGINEERING 2003, PTS A AND B, 2003, 15 : 1100 - 1105
[47] Comparison of numerical schemes for simulation of differential-algebraic equations systems
See, SCW
ESS'98 - SIMULATION TECHNOLOGY: SCIENCE AND ART, 1998, : 71 - 75
[48] Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations
Filobello-Nino, U.
Vazquez-Leal, H.
Benhammouda, B.
Perez-Sesma, A.
Jimenez-Fernandez, V. M.
Cervantes-Perez, J.
Sarmiento-Reyes, A.
Huerta-Chua, J.
Morales-Mendoza, L. J.
Gonzalez-Lee, M.
Diaz-Sanchez, A.
Pereyra-Diaz, D.
Lopez-Martinez, R.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[49] Monotone waveform relaxation for systems of nonlinear differential-algebraic equations
Jiang, YL
Wing, O
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (01) : 170 - 185
[50] Hybrid systems of differential-algebraic equations - Analysis and numerical solution
Mehrmann, Volker
Wunderlich, Lena
JOURNAL OF PROCESS CONTROL, 2009, 19 (08) : 1218 - 1228

← 1 2 3 4 5 →