Computer Algebra and Partial Differential Equations
Kazuo AMANO
Department of Mathematics
Faculty of Engineering
Gunma University
kamano@po.iijnet.or.jp
Abstract
First, the author gives an overview on the computer algebraic
study of partial differential equation.
Second, he introduces a new hybrid
symbolic-numeric method and gives
a scheme to construct an approximate
general solution. His techniques
are likely to have wide applicability,
since the key idea of the algorithm
is a rearrangement of the finite difference
method. Third, he shows several practical
examples; he constructs approximate
general solutions to heat equation,
Laplace equation, etc.
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