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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom