Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials

zbMath1453.65206MaRDI QIDQ2221849

Noureddine Zaouagui, Toufik Badredine

Publication date: 2 February 2021

Published in: Bulletin of Computational Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://drive.google.com/open?id=1g-UHREfzTP3qfE8zUWaU9u_R2-OhqSCM

zbMATH Keywords

decomposition methodinitial value problemsAdomian polynomialsCauchy's problemsnonlinear and non-autonomous ODEs

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (1)

An accelerated solution for some classes of nonlinear partial differential equations

Cites Work

• New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods
• New ideas for decomposing nonlinearities in differential equations
• Nonlinear differential equations with negative power nonlinearities
• Polynomial nonlinearities in differential equations
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• Generalization of the formula of Faa di Bruno for a composite function with a vector argument
• A nonlinear differential delay equation
• The decomposition method applied to the Cauchy problem
• Modeling failure time data by lehman alternatives
• The Curious History of Faa di Bruno's Formula
• A new algorithm for solving differential equations of Lane-Emden type

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