An effective variational iteration algorithm for solving Riccati differential equations

DOI10.1016/j.aml.2010.04.012zbMath1192.65095OpenAlexW1998153278MaRDI QIDQ979175

Shaher Momani, Asghar Ghorbani

Publication date: 25 June 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.012

zbMATH Keywords

comparison of methodsnumerical examplesRunge-Kutta methodvariational iteration methodRiccati differential equationspiecewise-truncated variational iteration methodtruncated variational iteration method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (9)

A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations ⋮ Unnamed Item ⋮ An iterative method for suboptimal control of linear time-delayed systems ⋮ A new method for Riccati differential equations based on reproducing kernel and quasilinearization methods ⋮ Fractional variational iteration method for fractional Cauchy problems ⋮ Reproducing kernel method for fractional Riccati differential equations ⋮ Feedback controller design for linear and a class of nonlinear optimal control problems ⋮ Legendre Collocation Method to Solve the Riccati Equations with Functional Arguments ⋮ An iterative method for suboptimal control of a class of nonlinear time-delayed systems

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