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Solution of the riccati equation by continued fractions

โœ Scribed by Y.H. Ku

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
381 KB
Volume
293
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

This note jollows the work of Lagrange and Euler and gives the essential steps for reaching a solution of the Boole and the Riccati equations with the help of continued fractions. The resulta are compared with the series solutions (which may be recognized in closed form for simple caaea) obtained by the Taylor-Cauchy transform method for a class of nonlinear varying-parameter systems.

๐Ÿ“œ SIMILAR VOLUMES

Solution of Generalized Optical Bloch Eq
Solution of Generalized Optical Bloch Equations by the Method of Matrix Continued Fraction
โœ Hong Y. Ling ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 60 KB

A numerical method is developed for solving the optical Bloch equations in the center-of-mass momentum space for a closed V system in a counterpropagating field configuration. The method consists of an iterative procedure based on the matrix continued fraction and a transformation by which the optic