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Intuitive Understanding of Solutions of Partially Differential Equations

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Bibliographic Details
Title: Intuitive Understanding of Solutions of Partially Differential Equations
Language: English
Authors: Kobayashi, Y.
Source: International Journal of Mathematical Education in Science and Technology. Apr 2008 39(3):365-371.
Availability: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html
Peer Reviewed: Y
Physical Description: PDF
Page Count: 7
Publication Date: 2008
Document Type: Journal Articles
Reports - Descriptive
Descriptors: Mathematics Education, Calculus, Problem Solving, Thermodynamics, Scientific Concepts, Visual Perception, Visual Learning, Demonstrations (Educational)
DOI: 10.1080/00207390600913343
ISSN: 0020-739X
Abstract: This article uses diagrams that help the observer see how solutions of the wave equation and heat conduction equation are obtained. The analytical approach cannot necessarily show the mechanisms of the key to the solution without transforming the differential equation into a more convenient form by separation of variables. The visual clues based on the transition rule are useful for understanding the process. (Contains 8 figures.)
Abstractor: Author
Number of References: 3
Entry Date: 2008
Accession Number: EJ789594
Database: ERIC
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Description
Abstract:This article uses diagrams that help the observer see how solutions of the wave equation and heat conduction equation are obtained. The analytical approach cannot necessarily show the mechanisms of the key to the solution without transforming the differential equation into a more convenient form by separation of variables. The visual clues based on the transition rule are useful for understanding the process. (Contains 8 figures.)
ISSN:0020-739X
DOI:10.1080/00207390600913343