Two-Point Boundary Value Problems

Part of the Texts in Applied Mathematics book series (TAM, volume 52)


In this chapter we investigate how to find the numerical solution of what are called two-point boundary value problems (BVPs). The most apparent difference between these problems and the IVPs studied in the previous chapter is that BVPs involve only spatial derivatives. What this means is that we consider how to solve a differential equation in an interval 0 < x < ℓ, where the solution is required to satisfy conditions at the two endpoints x = 0, ℓ. Examples of such problems are below.


Exact Solution Grid Point Matrix Equation Truncation Error Collocation Point 
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Copyright information

© Springer Science+Business Media, LLC 2007

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