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Mathematical Computation

Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy... [More] Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy and science, report of latest research result, aiming at providing a good communication platform to transfer, share and discuss the theoretical and technical development of mathematics theory development for professionals, scholars and researchers in this field, reflecting the academic front level, promote academic change and foster the rapid expansion of mathematics theory and application technology.

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ISSN Print:2327-0519

ISSN Online:2327-0527

Email:mc@ivypub.org

Website: http://www.ivypub.org/mc/

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Paper Infomation

Asymptotic Analysis of the Solution of Schnakenberg Equation

Full Text(PDF, 282KB)

Author: Xianghu Lu, Yandan Zhang, Xinhua Jiang

Abstract: This paper studied the initial value problem of the Schnakenberg equations. The first-order approximate solution was obtained by using two-timing scales method, and then error estimate was obtained with the use of a nonlinear Gronwall inequality to show that the obtained approximate solution is uniformly valid for 、 .

Keywords: Schnakenberg Equations; Initial Value Problem; The Multiple Scales Method; Error Estimate

References:

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[7] SMITH, D. Singular-Perturbation Theory [M]. Cambridge University Press, Cambridge, 1985

[8] Jiang X.H., Wong R., Justification of a Perturbation Approximation of the Klein-Gordon Equation [J]. Stud. Appl. Math. 1999, Vol. 102: 375–41

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