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STEP-SIZE DEPENDENCE OF THE PERIOD FOR A FORWARD-EULER SCHEME OF THE VAN DER POL EQUATION

✍ Scribed by R.E. MICKENS

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 80 KB
Volume: 258
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2002.5140

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✦ Synopsis

Recently, Mickens and Gumel [1] studied the numerical solutions of a non-standard finitedifference scheme [2] for the van der Pol differential equation

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NUMERICAL STUDY OF A NON-STANDARD FINITE

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We give a purely analytical perturbation method of solution of the van der Pol equation, whereby the periodic solution can be actually developed in the form of a power series in the damping parameter up to any desired order and thus analysed in detail. The coefficients of the series solution, which

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ANALYTICAL AND NUMERICAL STUDY OF A NON-STANDARD FINITE DIFFERENCE SCHEME FOR THE UNPLUGGED VAN DER POL EQUATION

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