Efficient shooting method for solving two point boundary value problems

DOI10.1016/j.chaos.2006.05.094zbMath1132.65067OpenAlexW2014416351MaRDI QIDQ2470222

Basem S. Attili, Muhammed I. Syam

Publication date: 13 February 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.05.094

zbMATH Keywords

numerical examplesAdomian decomposition methodshooting methodtwo point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
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• Singular boundary value problems for ODEs
• Approximate solutions to boundary value problems of higher order by the modified decomposition method
• A nonlinear shooting method for two-point boundary value problems
• Adomian decomposition method for approximating the solution of the Korteweg-deVries equa\-tion
• Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems
• Finite difference methods for certain singular two-point boundary value problems
• On shooting methods for boundary value problems
• Nonlinear optimization exclusion tests for finding all solutions of nonlinear equations
• The MATLAB ODE Suite
• A Note on the Relationship between Finite-Difference and Shooting Methods for ODE Eigenvalue Problems
• Projection Methods for Two-Point Boundary Value Problems
• Multiple shooting and the calculation of some types of singularities in b.v.p.'s
• On the numerical implementation of the shooting methods to the one-dimensional singular boundary value problems
• A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems