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Computer implementation of a series solution for constant coefficient ordinary differential equations

โœ Scribed by C.L.-Y. Wang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
813 KB
Volume
31
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Solving constant coefficient ordinary differential equations (CCODES) with degree greater than four has long been a problem without precise theoretical or numerical solutions except in special cases. We now propose a new accurate theoretical and economic computer method using Taylor's series to solve CCODES of any degree.

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Using the theory of generalized functions and the theory of Fourier transforms in several complex variables, previous authors developed a nonconstructive, integral representation for power series solutions to a given system of linear, constant coefficient partial differential equations (PDEs). For a