๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Analytic solutions of a nonlinear convective equation in population dynamics

โœ Scribed by L. Giuggioli; V.M. Kenkre

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
283 KB
Volume
183
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

โœฆ Synopsis

Analytic solutions are presented for a simple nonlinear convective equation of use in population dynamics. In spite of its simplicity the equation predicts rich behavior including a velocity inversion transition. Stability considerations are also presented.

๐Ÿ“œ SIMILAR VOLUMES

A dynamic injection operator in a multig
A dynamic injection operator in a multigrid solution of convection-diffusion equations
โœ Jules Kouatchou ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 107 KB ๐Ÿ‘ 2 views

A multigrid method is studied for the solution of a linear system resulting from the high-order nine-point discretization of the convection-diffusion equations. The residual injection operator is used as a substitute for the usual full-weighting in the multigrid process. A heuristic analysis is give

Analytic solutions of a nonlinear iterat
Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles
โœ Jianguo Si; Weinian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

In this paper existence of analytic solutions of a nonlinear iterative equations is studied when given functions are all analytic and when given functions have poles. As well as in many previous works, we reduce this problem to finding analytic solutions of a functional equation without iteration of

Analytic Solutions of a Class of Linear
Analytic Solutions of a Class of Linear and Nonlinear Functional Equations
โœ Eugenia N. Petropoulou ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert ลฝ . ลฝ . space H โŒฌ and the Banach space H โŒฌ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.