A Numerical Method For Solving Ricatti Differential Equations

Author(s):

M. Masjed-Jamei , A. H. Salehi Shayegan

Abstract:
By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.
Keywords:

Riccati differential equations , Adams-Bashforth rules , Weighting factor , Nonlinear differential equations , Stirling numbers

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:12 Issue: 2, Nov 2017
Pages:
51 to 71
https://www.magiran.com/p1746020