Kazuo Amano
Abstract: The author constructs an approximate general solution to a degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new numerical symbolic hybrid method. The techniques are likely to have wide applicability, since the key idea of the algorithm is a rearrangement of the finite difference method.
Submitted February 20, 1995. Published October 20, 1995.
Math Subject Classification: 35K65, 65M99.
Key Words: Degenerate parabolic, numerical-symbolic method.
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