Student Work

SPECTRAL METHODS FOR FRACTIONAL LAPLANCIAN

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This project is to numerically solve fractional Laplace equations and related equations. The major numerical methods we use are Jacobi-spectral methods. Our ultimate goal is to numerically solve a turbulence testbed problem. To achieve our goal, we first establish fractional Laplacian of Jacobi polynomials and choose proper test functions for our spectral methods. We start from linear steady and unsteady equations and then solve nonlinear unsteady equations. For unsteady equations, we have to take a different test function than that for steady equations to avoid singularity of the resulting linear systems.

  • This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
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  • E-project-032516-214000
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  • 2016
Date created
  • 2016-03-25
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