Open AccessExtension of the Chebyshev Method of Quassi-Linear Parabolic P.D.E.S With Mixed Boundary Conditions
Author(s) -
Baghdad Science Journal
Publication year - 2009
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.6.3.603-611
Subject(s) - chebyshev filter , chebyshev iteration , mathematics , chebyshev pseudospectral method , chebyshev equation , chebyshev nodes , chebyshev polynomials , boundary (topology) , extension (predicate logic) , mathematical analysis , point (geometry) , boundary value problem , computer science , geometry , classical orthogonal polynomials , orthogonal polynomials , programming language
The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described. A comparison of various chebyshev methods is made by applying them to two-point eigenproblems. It is shown by analysis and numerical examples that the approach used to derive the generalized Chebyshev method is comparable, in terms of the accuracy obtained, with existing Chebyshev methods.