Title of article :
A Numerical Method for Solving Ricatti Dierential Equations
Author/Authors :
Masjed-Jamei, Mohammad Faculty of Mathematics - K. N. Toosi University of Technology , Salehi Shayegan, A. H. Faculty of Mathematics - K. N. Toosi University of Technology
Abstract :
Abstract. By adding a suitable real function on both sides of the quadratic
Riccati dierential equation, we propose a weighted type of Adams-
Bashforth rules for solving it, in which moments are used instead of the
constant coecients of Adams-Bashforth rules. Numerical results reveal
that the proposed method is ecient and can be applied for other nonlinear
problems.
Keywords :
Stirling numbers , Stirling numbers , Nonlinear differential equations , Weighting factor , Adams-Bashforth rules , Riccati diffrential equations
Journal title :
Astroparticle Physics
