Titlebook: Introduction to Numerical Methods in Differential Equations; Mark H. Holmes Textbook 2007 Springer-Verlag New York 2007 Boundary value pro

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Two-Point Boundary Value Problems,rence 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 < . < ?, where the solution is required to satisfy conditions at the two endpoints . = 0,

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Diffusion Problems,lems that involve motion or transport of particles (ions, molecules, etc.) from areas of higher concentration to areas of lower concentration. Simple examples are the spread of a drop of ink dropped into water and the melting of an ice cube. Diffusion is also a key component in the formation of dend

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Advection Equation,haps an earthquake or two. It is not particularly difficult to write down a reasonable-looking finite difference approximation to a wave equation. Most of the effort is invested in trying to determine whether the method actually works. There are unique complications for numerical wave propagation, a

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