A new algorithm for solving nonlinear boundary value problems

DOI10.1108/03684920910962579zbMath1206.34022OpenAlexW2093686917MaRDI QIDQ4932926

Feyed Ben Zitoun, Yves Cherruault

Publication date: 7 October 2010

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920910962579

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (3)

A method for solving nonlinear differential equations ⋮ The Lie-group shooting method for solving multi-dimensional nonlinear boundary value problems ⋮ A Taylor expansion approach using Faà di Bruno's formula for solving nonlinear integral equations of the second and third kind

Cites Work

• Transformation of series
• A modified decomposition
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• Convergence of Adomian's method applied to differential equations
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• Exponential polynomials
• Faà di Bruno's formula, lattices, and partitions
• On the solution of the Riccati equation by the Taylor matrix method
• Collocation approximation for fourth-order boundary value problems
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
• The Curious History of Faa di Bruno's Formula
• The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method
• A Taylor expansion approach using Faà di Bruno's formula for solving nonlinear integral equations of the second and third kind
• The Differentiation of a Composite Function
• An algorithm for calculating indices in Fàa di Bruno's formula
• Esquisse d'une théorie décompositionnelle
• A comparison of numerical solutions of fourth‐order boundary value problems
• Derivatives of composite functions

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