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arxiv: 1709.04795 · v1 · pith:Z7D5MCXSnew · submitted 2017-09-14 · 🧮 math.NA

A comparison between the Shooting and Finite-Difference Method in solving a Nonlinear Boundary Value Problem found in the context of light propagation

classification 🧮 math.NA
keywords methodfinite-differenceshootingcontextfoundlightmethodsnonlinear
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The shooting and finite-difference method are both numeric methods that approximate the solution of a BVP to a given accuracy. In this report both methods were implemented in Matlab and compared to each other on a BVP found in the context of light propagation in nonlinear dielectrics. It was observed that the finite-difference method is numerically more stable and converges faster than the shooting method.

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