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Semi-analytical solution of physical initial-value problems using the imprint method
2005 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Numerical solution of partial differential equations is often restricted to include parametrical dependence through a series of calculations. The imprint method, which is a semi-analytical spectral method taking advantage of todays powerful symbolic computer mathematics, include parametrical dependence by allowing an arbitrary number of variables and parameters within the solution. In this Master's thesis the imprint method is evaluated for both polynomial and Chebyshev basis functions. Benchmarking is done mainly against the Burgers equation, which allows comparisons with exact solutions. Much of this thesis work is also dedicated to produce a versatile implementation for the Maple platform.

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-52594ISRN: LTU-EX--05/184--SELocal ID: 9b76ff27-a3e1-4411-a50f-2aa55ccfb4d1OAI: diva2:1025964
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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