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arXiv · 1709.04795

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

Luke Taylor
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Abstract

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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Luke Taylor. 2017-09-14. A comparison between the Shooting and Finite-Difference Method in solving a Nonlinear Boundary Value Problem found in the context of light propagation. https://arxiv.org/abs/1709.04795

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