Intuitive Understanding of Solutions of Partially Differential Equations
IJMEST Volume 39, Number 3, ISSN 0020-739X
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.)
Kobayashi, Y. (2008). Intuitive Understanding of Solutions of Partially Differential Equations. International Journal of Mathematical Education in Science and Technology, 39(3), 365-371.