شماره ركورد كنفرانس :
4079
عنوان مقاله :
Some Improvements on Algebraic Representation of PDE Systems
پديدآورندگان :
Fakouri .Sh Sh.Fakouri@std.du.ac.ir Damghan University , Basiri .A Basiri@du.ac.ir Damghan University , Rahmany .S S Rahmani@du.ac.ir Damghan University , Alizadeh .B .M B.M.Alizadeh@std.du.ac.ir Damghan University
كليدواژه :
Differential Algebra , PDE System , Rosenfeld , Gröbner algorithm
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
Rosenfeld-Gröbner algorithm is a novel computational tool in the context of differential algebra which gives a full decomposition on the solution space of a partially differential equation
(PDE) system. Although this algorithm has some efficiencies, there are some parts yet which
need to be improved. In this paper, we figure out some crucial parts of this algorithm which
need to be modified and give a new structure to this algorithm making it possible to give some
improvements. Then we compare the our result by the primitive version of the algorithm to
evaluate the performance of our improvements