ISJ Theoretical & Applied Science 05(49) 2017

ISPC Technology and progress, Philadelphia, USA

Seidaliyeva ST

COMPUTER ESTIMATIONS OF THICKNESS OF BOUNDARY LAYER IN SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-05-49-12

DOI: https://dx.doi.org/10.15863/TAS.2017.05.49.12

Language: Russian

Citation: Seidaliyeva ST (2017) COMPUTER ESTIMATIONS OF THICKNESS OF BOUNDARY LAYER IN SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS. ISJ Theoretical & Applied Science, 05 (49): 64-70. Soi: http://s-o-i.org/1.1/TAS-05-49-12 Doi: https://dx.doi.org/10.15863/TAS.2017.05.49.12

Pages: 64-70

Published: 30.05.2017

Abstract: Asymptotical analysis of solutions of singularly perturbed differential equations is one of important problems of the theory and its apllications. The present work is devoted to the computer estimation of thickness of boundary layer in differential equations with a small parameter at high derivatives. Maple program for asymptotic expansion was prepared for a model equation of first order. An estimation of a residual term of such expansion was obtained. The aim of the present work is to demonstrate advantages of Maple tools.

Key words: singularly perturbed equation, asymptotic expansion, boundary layer.