Name
Abstract | ||
|---|---|---|
The Adams-Bashforth have been recognized to be a very efficient numerical method to solve linear and nonlinear differential equations, including those with non-integer orders. This method is based on the well-known Lagrange interpolation; however, it is well known that the Lagrange polynomial is less accurate than the Newton polynomial. In this paper, we introduced a new numerical scheme based on two steps Newton polynomial, we present some applications and illustrative examples for both ordinary differential equations with classical and fractional derivative. (C) 2019 Elsevier B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cam.2019.112622 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Newton polynomial,New numerical scheme,Fractal calculus,Fractional calculus | Lagrange polynomial,Ordinary differential equation,Mathematical analysis,Nonlinear differential equations,Fractional calculus,Numerical analysis,Newton polynomial,Mathematics | Journal |
Volume | ISSN | Citations |
372 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abdon Atangana | 1 | 71 | 12.66 |
| Seda İğret Araz | 2 | 0 | 0.34 |