Using AD to solve BVPs in MATLAB

DOI10.1145/1055531.1055535zbMath1073.65065OpenAlexW2064475824WikidataQ113310729 ScholiaQ113310729MaRDI QIDQ5461221

Robert Ketzscher, Shaun A. Forth, Lawrence F. Shampine

Publication date: 22 July 2005

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1055531.1055535

zbMATH Keywords

finite differencesautomatic differentiationtwo-point boundary value problemMATLAB program bvp4c

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical differentiation (65D25) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (7)

A direct matrix method for computing analytical jacobians of discretized nonlinear integro-differential equations ⋮ On cross-diffusion effects on flow over a vertical surface using a linearization method ⋮ Modeling of non-isothermal polymer jets in melt electrospinning ⋮ Solution of third grade thin film flow using algorithmic differentiation ⋮ Numerical solution of a third-order nonlinear boundary-value problem by automatic differentiation ⋮ bvp4cAD ⋮ A back propagation through time-like min-max optimal control algorithm for nonlinear systems

Uses Software

• ADOL-C
• Matlab
• ADIFOR
• ADMIT
• ADIC
• bvp4c
• TAPENADE
• MAD
• MATLAB ODE suite

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