TITLE:
Fully Discrete Orthogonal Collocation Method of Sobolev Equations
AUTHORS:
Ning Ma, Wenliang Bian, Xiaofei Lu
KEYWORDS:
Sobolev Equations, Orthogonal Collocation Method, Error Estimate
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.12,
December
27,
2017
ABSTRACT: In this paper, the fully discrete orthogonal collocation method for
Sobolev equations is
considered, and the equivalence for discrete Garlerkin method is proved. Optimal
order error estimate is obtained.