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Σary, Minnesota State University Moorhead, Mathematics Department
Σary, Minnesota State University Moorhead, Mathematics Department
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The Numerical Solution Of The Helmholtz Equation For The Bloodcell Shape: Mars Project, Jill Kelly Resh
The Numerical Solution Of The Helmholtz Equation For The Bloodcell Shape: Mars Project, Jill Kelly Resh
Mathematics Theses
The objective of this research is to investigate numerical solutions of several boundary value problems for the Helmholtz equation for the shape of a Biconcave Disk. The boundary value problems this research mainly focuses on are the Neumann and Robin boundary problems. The Biconcave Disk is a closed, simply connected, bounded shape modi ed from a sphere where the two sides concave toward the center, mapped by a sine curve. There are some numerical issues in this type of analysis; any integration is a ected by the wave number k, because of the oscillatory behavior of the fundamental solution of …