Premium
Solving functions in problems of mathematical physics
Author(s) -
Al Khatib M.J.,
Grysa K.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310459
Subject(s) - mathematics , partial differential equation , heat equation , differential equation , set (abstract data type) , first order partial differential equation , linear differential equation , construct (python library) , mathematical analysis , computer science , programming language
For any linear partial differential equation the solving functions are such ones that satisfy the equation and form a complete set of functions. In the paper the heat polynomials (i.e. solving functions for the heat conduction equation) are discussed as a representative example. They are used to construct an approximate solution of a given problem in a form of linear combination of the polynomials.