A comparison between the Shooting and Finite-Difference Method in solving a Nonlinear Boundary Value Problem found in the context of light propagation
arXiv:1709.04795h-index: 1
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This is an incremental comparison of two known numerical methods applied to a specific problem in nonlinear optics.
The paper compares the shooting and finite-difference methods for solving a nonlinear boundary value problem in light propagation, finding that the finite-difference method is more numerically stable and converges faster.
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.