✦ LIBER ✦

A Gauss–Galerkin finite-difference method for singular partial differential equations in two space variables

✍ Scribed by Liying Huang; David H. Y. Yen

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 251 KB
Volume: 13
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199707)13:4<331::aid-num3>3.0.co;2-m

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✦ Synopsis

A Gauss-Galerkin finite-difference method is proposed for the numerical solution of a class of linear, singular parabolic partial differential equations in two space dimensions. The method generalizes a Gauss-Galerkin method previously used for treating similar singular parabolic partial differential equations in one space dimension. Two test problems are studied and the numerical results are presented. These numerical results are encouraging and suggest that the proposed method is efficient in treating singular parabolic partial differential equations of the type considered here.