Initial value problems for ODEs in problem solving environments

DOI10.1016/S0377-0427(00)00456-8zbMath0971.65062MaRDI QIDQ1841942

Robert M. Corless, Lawrence F. Shampine

Publication date: 18 February 2001

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

zbMATH Keywords

initial value problemsMATLABMaplescientific computation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20)

Related Items (10)

A Fractal Eigenvector ⋮ Design of software for ODEs ⋮ Multi-objective optimization of chemical reaction conditions based on a kinetic model ⋮ odeToJava ⋮ A numerical modelling of the limit problem for the magnetically noninsulated diode ⋮ Application of homotopy analysis method to solve MHD Jeffery-Hamel flows in non-parallel walls ⋮ From nonlinear PDEs to singular ODEs ⋮ Behavior of micro-polar flow due to linear stretching of porous sheet with injection and suction ⋮ Identification of wall-thinning and cracks in pipes utilizing vibration modes and wavelets ⋮ A local collocation method with radial basis functions for an electrospinning problem

Uses Software

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

Cites Work

• The art of writing a Runge-Kutta code. II
• The MATLAB ODE Suite
• Interpolants for Runge-Kutta formulas
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