A new method for determining the solution of Riccati differential equations

DOI10.1016/J.AMC.2007.04.061zbMath1193.65116OpenAlexW2062635734MaRDI QIDQ990691

Bao-Qing Tang, Xian-fang Li

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.061

zbMATH Keywords

error analysisVolterra integral equationapproximate solutionRiccati equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
• Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations.
• Exact travelling wave solutions for a class of nonlinear partial differential equations
• Solving Riccati differential equation using Adomian's decomposition method
• Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
• Approximate solution of linear ordinary differential equations with variable coefficients
• RELATED OPERATORS AND EXACT SOLUTIONS OF SCHRÖDINGER EQUATIONS
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

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