A shooting method for nonlinear heat transfer using automatic differentiation

DOI10.1016/j.amc.2005.12.011zbMath1106.65064OpenAlexW1980556923MaRDI QIDQ850258

Asai Asaithambi

Publication date: 15 November 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.011

zbMATH Keywords

numerical examplesTaylor seriestwo-point boundary value problemsTaylor coefficientsendpoint singularity

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Solution of third grade thin film flow using algorithmic differentiation ⋮ Sixth order derivative free family of iterative methods ⋮ An analytic shooting-like approach for the solution of nonlinear boundary value problems ⋮ A successive linearization method approach to solve Lane-Emden type of equations ⋮ Numerical solution of a third-order nonlinear boundary-value problem by automatic differentiation

Cites Work

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• Numerical solution of two-point boundary value problems
• Nonlinear partial differential equations in engineering. Vol. II
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• A Method for the Solution of Conduction Heat Transfer with Non‐linear Heat Generation

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