DocumentCode :
3283069
Title :
A numerical solution of linear variable-coefficient partial differential equations with two independent variables based on Kida´s optimum approximation theory
Author :
Kida, Yuichi ; Kida, Takuro
Author_Institution :
Sch. of Pharm. Sci., Ohu Univ., Koriyama
fYear :
2008
fDate :
7-10 Dec. 2008
Firstpage :
1
Lastpage :
6
Abstract :
We derive a method of obtaining approximate numerical solution of linear variable-coefficient partial differential equations (PDEs) with two independent variables from Kida´s optimum approximation theory. It is shown that a certain generalized filter bank implements linear PDEs. By applying generalized discrete orthogonality of Kida´s optimum approximation to this filter bank, we prove that our approximate solution satisfies a given linear PDEs and the corresponding initial or boundary conditions at all given sample points, simultaneously.
Keywords :
approximation theory; partial differential equations; Kida optimum approximation theory; generalized filter bank; linear variable-coefficient partial differential equations; numerical solution; Approximation methods; Boundary conditions; Computer simulation; Fellows; Filter bank; Information theory; Partial differential equations; Pharmaceutical technology; Physics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory and Its Applications, 2008. ISITA 2008. International Symposium on
Conference_Location :
Auckland
Print_ISBN :
978-1-4244-2068-1
Electronic_ISBN :
978-1-4244-2069-8
Type :
conf
DOI :
10.1109/ISITA.2008.4895659
Filename :
4895659
Link To Document :
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