Exact and Truncated Difference Schemes for Boundary Value ODEs

• Main Authors: Gavrilyuk, Ivan (Author), Hermann, Martin (Author), Makarov, Volodymyr (Author), Kutniv, Myroslav V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: International Series of Numerical Mathematics ; 159
• Subjects: Mathematics.; Differential equations.; Ordinary Differential Equations.

The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now com...

Table of Contents:

• Preface
• 1 Introduction and a short historical overview
• 2 2-point difference schemes for systems of ODEs
• 3 3-point difference schemes for scalar monotone ODEs
• 4 3-point difference schemes for systems of monotone ODEs
• 5 Difference schemes for BVPs on the half-axis
• 6 Exercises and solutions
• Index.