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On a Recursive Approximation of Singularly Perturbed Parabolic Equations

โœ Scribed by J. Struckmeier; A. Unterreiter

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
165 KB
Volume
250
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The asymptotic analysis of IBVPs for the singularly perturbed parabolic PDE ัจ u q ัจ u s ัจ u in the limit ยช 0 motivates investigations of certain recur-

ลฝ . sively defined approximative series ''ping-pong expansions'' . The recursion formulae rely on operators assigning to a boundary condition at the left or the right boundary a solution of the parabolic PDE. Sufficient conditions for uniform convergence of ping-pong expansions are derived and a detailed analysis for the model problem ัจ u q ัจ u s ัจ u is given.

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