The modified helmholtz equation on a regular hexagon-the symmetric dirichlet problem
Published version
Peer-reviewed
Repository URI
Repository DOI
Type
Article
Change log
Authors
Kalimeris, K
Fokas, AS
Abstract
jats:pUsing 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.</jats:p>
Description
Keywords
4901 Applied Mathematics, 49 Mathematical Sciences
Journal Title
Axioms
Conference Name
Journal ISSN
2075-1680
2075-1680
2075-1680
Volume Title
9
Publisher
MDPI AG
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/N006593/1)