Solving Riccati differential equation using Adomian's decomposition method
From MaRDI portal
Publication:1881709
DOI10.1016/j.amc.2003.08.049zbMath1054.65071OpenAlexW2000050774WikidataQ115361948 ScholiaQ115361948MaRDI QIDQ1881709
Ahmed A. Bahnasawi, Ahmed Abdel-Naby, Magdy A. El-Tawil
Publication date: 14 October 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.049
comparison of methodsnumerical examplesmatrix Riccati differential equationmultistage Adomian's decomposition method
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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Cites Work
