Name
Abstract | ||
|---|---|---|
Analytical properties of a nonlinear singular second order boundary value problem in ordinary differential equations posed on an unbounded domain for the density profile of the formation of microscopic bubbles in a nonhomogeneous fluid are discussed. Especially, sufficient conditions for the existence and uniqueness of solutions are derived. Two approximation methods are presented for the numerical solution of the problem, one of them utilizes the open domain Matlab code bvpsuite. The results of numerical simulations are presented and discussed. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.09.066 | Applied Mathematics and Computation |
Keywords | Field | DocType |
unbounded domain,density profile equation,analytical property,nonhomogeneous fluid,density profile,order boundary value problem,microscopic bubble,approximation method,numerical simulation,open domain matlab code,numerical solution | Boundary value problem,Numerical methods for ordinary differential equations,Explicit and implicit methods,Mathematical optimization,Exponential integrator,Mathematical analysis,Singular solution,Numerical partial differential equations,Collocation method,Numerical stability,Mathematics | Journal |
Volume | ISSN | Citations |
225, | 0096-3003 | 2 |
PageRank | References | Authors |
0.49 | 8 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Hastermann | 1 | 2 | 0.49 |
| P. M. Lima | 2 | 45 | 4.75 |
| M. L. Morgado | 3 | 17 | 2.12 |
| Ewa Weinmüller | 4 | 118 | 24.75 |