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Some improvements in the phase-plane delta method

✍ Scribed by B.L. Deekshatulu; Sarbeshwar Prusty

Publisher: Elsevier Science
Year: 1966
Tongue: English
Weight: 509 KB
Volume: 281
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(66)90282-1

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✦ Synopsis

This paper presents a novel method of obtaining the entire phase-portrait by the phase-plane ~-method. The inherent di.~culty in the existing isocline method due to the presence of quadratic and interacting functions in :~ and x is eliminated. The use of the phase-plane ~-method in the ~:-~ plane for the solution of non-linear systems is suggested. Error analysis shows that the ~-mdhod is more accurate than the existing ~-method.

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