Asymptotic analysis of some elliptic-parabolic moving boundary problems

Hulshof, Josephus; King, John R.

doi:10.1016/s0893-9659(98)00154-2

Applied Mathematics Letters

1999

DOI: 10.1016/s0893-9659(98)00154-2

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Asymptotic analysis of some elliptic-parabolic moving boundary problems

Josephus Hulshof

John R. King

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An Alternative Example of the Method of Multiple Scales

Edwards

2000

SIAM Rev.

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Abstract. An alternative example of the method of multiple scales is presented. This example arises in the study of the classical heat equation with a slowly varying flux imposed at one end. The module presents introductory ideas about dimensionless variables, multiple-scale expansions, and scaling of the dependent variable. The necessarily obfuscating algebraic computation is less than that for more familiar multiple-scale examples, such as the perturbed oscillator. The results are analyzed for both their physical and mathematical importance.

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An Alternative Example of the Method of Multiple Scales

Edwards

2000

SIAM Rev.

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show abstract

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Asymptotic analysis of some elliptic-parabolic moving boundary problems

Cited by 1 publication

References 7 publications

An Alternative Example of the Method of Multiple Scales

An Alternative Example of the Method of Multiple Scales

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