ISSN:
1573-2754
Keywords:
elliptic-parabolic partial differential equation
;
singular perturbation problem
;
periodic boundary
;
difference scheme
;
uniform convergence
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract In this paper, we consider a singular perturbation elliptic-parabolic partial differential equation for periodic boundary value problem, and construct a difference scheme. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, we prove that the scheme constructed by this paper converges uniformly to the solution of its original problem with O(⋆+h2).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02098058
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