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ERIC Number: EJ810997
Record Type: Journal
Publication Date: 2008-Mar
Pages: 22
Abstractor: As Provided
ISSN: ISSN-1051-1970
Teaching Modeling with Partial Differential Equations: Several Successful Approaches
Myers, Joseph; Trubatch, David; Winkel, Brian
PRIMUS, v18 n2 p161-182 Mar 2008
We discuss the introduction and teaching of partial differential equations (heat and wave equations) via modeling physical phenomena, using a new approach that encompasses constructing difference equations and implementing these in a spreadsheet, numerically solving the partial differential equations using the numerical differential equation solver in Mathematica, and analytically constructing solutions from reasoned building blocks. We obtain graphical feedback as soon as possible in each approach and permit "what if" modeling wherever possible. This approach is contrasted with the usual Fourier series development and series solution using boundary value solution strategies. (Contains 9 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: United States