On Solving Systems of ODEs Numerically | Zendy

Temple H. Fay | Zendy; Stephan V. Joubert | Zendy; A.C. Mkolesia | Zendy

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On Solving Systems of ODEs Numerically

Author(s) -

Temple H. Fay,

Stephan V. Joubert,

A.C. Mkolesia

Publication year - 2005

Publication title -

american journal of undergraduate research

Language(s) - English

Resource type - Journals

eISSN - 2375-8732

pISSN - 1536-4585

DOI - 10.33697/ajur.2005.003

Subject(s) - ode , ordinary differential equation , simple (philosophy) , component (thermodynamics) , measure (data warehouse) , computer science , calculus (dental) , mathematics , value (mathematics) , initial value problem , numerical methods for ordinary differential equations , differential equation , mathematical analysis , differential algebraic equation , data mining , machine learning , physics , epistemology , medicine , dentistry , philosophy , thermodynamics

Many beginning courses on ordinary differential equations have a computer laboratory component in which the students are asked to solve initial value problems numerically. But little attention in texts is given to the question of how accurate such solutions are. In this article we offer a simple procedure that not only can provide a measure of accuracy, but also often produces superior numerical results.

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