A comparative study of numerical methods for solving quadratic Riccati differential equations

DOI10.1016/j.jfranklin.2010.10.011zbMath1210.65131OpenAlexW2089281733MaRDI QIDQ630903

Juan-Miguel Gracia

Publication date: 22 March 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.10.011

zbMATH Keywords

convergencenumerical examplesLegendre wavelet methodquadratic Riccati differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

• Unnamed Item
• A piecewise variational iteration method for Riccati differential equations
• A new method for determining the solution of Riccati differential equations
• A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
• Solving Riccati differential equation using Adomian's decomposition method
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• Homotopy analysis method for quadratic Riccati differential equation
• The linear Legendre mother wavelets operational matrix of integration and its application
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• The Legendre wavelets operational matrix of integration
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

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