Swipe to navigate through the chapters of this book
As we have seen in the last two chapters, only particular classes of differential equations can be solved analytically. Especially for nonlinear problems one has to rely on numerical methods. In this chapter we discuss several variants of Euler’s method as a prototype. Motivated by the Taylor expansion of the analytical solution we deduce Euler approximations and study their stability properties. In this way we introduce the reader to several important aspects of the numerical solution of differential equations. We point out, however, that for most real-life applications one has to use more sophisticated numerical methods.
Please log in to get access to this content
- Numerical Solution of Differential Equations
- Springer International Publishing
- Sequence number
- Chapter number
- Chapter 21