Symbolic Solutions of Simultaneous First-Order PDEs in One Unknown
نویسندگان
چکیده
منابع مشابه
Symbolic Solutions of Simultaneous First-order PDEs in One Unknown
We propose and implement an algorithm for solving an overdetermined system of partial differential equations in one unknown. Our approach relies on Bour-Mayer method to determine compatibility conditions via Jacobi-Mayer brackets. We solve compatible systems recursively by imitating what one would do with pen and paper: Solve one equation, substitute the solution into the remaining equations an...
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ژورنال
عنوان ژورنال: The Mathematica Journal
سال: 2018
ISSN: 1097-1610
DOI: 10.3888/tmj.20-2