The Modified Helmholtz Equation on a Regular Hexagon - The Symmetric Dirichlet problem
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Fokas, A., & Kalimeris, K. The Modified Helmholtz Equation on a Regular Hexagon - The Symmetric Dirichlet problem. Axioms https://doi.org/10.17863/CAM.59444
Using the unified transform, also known as the Fokas method, we analyse the modified Helmholtz equation in the regular hexagon with symmetric Dirichlet boundary conditions; namely, the boundary value problem where the trace of the solution is given by the same function on each side of the hexagon. We show that if this function is odd, then this problem can be solved in closed form; numerical verification is also provided.
This record's DOI: https://doi.org/10.17863/CAM.59444
This record's URL: https://www.repository.cam.ac.uk/handle/1810/312352
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Licence URL: https://creativecommons.org/licenses/by/4.0/