# Two-Point Boundary Value Problems

Chapter

## Abstract

In Chapter 1 above we encountered the wave equation in Section 1.4.3 and the heat equation in Section 1.4.4. These equations occur rather frequently in applications, and are therefore often referred to as fundamental equations. We will return to these equations in later chapters. Another fundamental equation is Poisson’s equation, given by
where the unknown function

$$
- \sum\limits_{j = 1}^n {\frac{{\partial ^2 u}}
{{\partial x_j^2 }} = f,}
$$

*u*is a function of*n*spatial variables*X*_{1},...,*x*_{ n }.## Keywords

Exact Solution Grid Point Eigenvalue Problem Truncation Error Unit Interval
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer-Verlag New York, Inc. 1998