A general scheme for solving systems of linear first-order differential equations based on the differential transform method

DOI10.1155/2021/8839201zbMath1477.65128OpenAlexW3198432795WikidataQ115243594 ScholiaQ115243594MaRDI QIDQ2666452

Abdullah Ali H. Ahmadini, M. A. El-Moneam, Badr S. Badr, Ahmed Hussein Msmali, Abdullah M. Alotaibi

Publication date: 22 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8839201

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for ordinary differential equations (65L99)

Cites Work

• Some oscillation criteria for second order nonlinear functional ordinary differential equations
• A multi-step differential transform method and application to non-chaotic or chaotic systems
• Solutions of the system of differential equations by differential transform method
• Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method
• Solution of difference equations by using differential transform method
• Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Applications of differential transform methods to differential-algebraic equations
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