Riccatis Equation. Asymptotics of Exact Solution

Authors

  • Nikolai Evgenievich Tsapenko National University of Science and Technology “MISiS”, Moscow, Russian Federation

DOI:

https://doi.org/10.18488/journal.24/2016.5.1/24.1.25.39

Keywords:

General Riccati‘s equation, Asymptotic solutions, Turning points, Approximate equations, Asymptotic calculation of integral, small parameter

Abstract

In this article based on a method of approximating equation an asymptotic solution of the general Riccati ‘s equation is obtained. The principal distinctive feature and advantage of the solution is its continuity at turning points. Estimates of accuracy of the approximate solution are derived. Limit values of the asymptotic solution in case of one-sided convergence of argument to turning point of the first order are calculated.

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Published

2016-01-11

Issue

Vol. 5 No. 1 (2016)

Section

Articles

How to Cite

Riccatis Equation. Asymptotics of Exact Solution. (2016). International Journal of Mathematical Research, 5(1), 25-39. https://doi.org/10.18488/journal.24/2016.5.1/24.1.25.39