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Numerical simulation of solitons in the nerve axon using finite differences
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing.
2014 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

A High-order accurate finite difference scheme is derived for a non-linear soliton model of nerve signal propagation in axons. Boundary conditions yielding well-posed problems are suggested and included in the scheme using a penalty technique. Stability is shown using the summation-by-parts framework for a frozen parameter version of the non-linear problem.

Place, publisher, year, edition, pages
UPTEC F, ISSN 1401-5757 ; 14041
National Category
Computer and Information Science
URN: urn:nbn:se:uu:diva-234383OAI: oai:DiVA.org:uu-234383DiVA: diva2:756532
Educational program
Master Programme in Engineering Physics
Available from: 2014-10-20 Created: 2014-10-17 Last updated: 2014-10-20Bibliographically approved

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