Name
Title | ||
|---|---|---|
A comparative study of numerical methods for solving quadratic Riccati differential equations |
Abstract | ||
|---|---|---|
In this paper, we use Legendre wavelet method for solving quadratic Riccati differential equations and perform a comparative study between the proposed method and other existing methods. Our results show that in comparison with other existing methods, the Legendre wavelet method provides a fast convergent series of easily computable components. The present study is illustrated by exploring two kinds of nonlinear Riccati differential equations that shows the pertinent features of the Legendre wavelet method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jfranklin.2010.10.011 | Journal of the Franklin Institute |
Keywords | Field | DocType |
numerical method,comparative study | Differential equation,Mathematical optimization,Nonlinear system,Legendre wavelet,Numerical partial differential equations,Algebraic Riccati equation,Riccati equation,Numerical analysis,Linear-quadratic regulator,Mathematics | Journal |
Volume | Issue | ISSN |
348 | 2 | 0016-0032 |
Citations | PageRank | References |
10 | 0.74 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| F. Mohammadi | 1 | 61 | 6.75 |
| M.M. Hosseini | 2 | 28 | 2.71 |