A note on the use of Adomian decomposition method for high-order and system of nonlinear differential equations

DOI10.1016/j.cnsns.2008.04.014zbMath1221.65162OpenAlexW2051593663MaRDI QIDQ716711

D. Kharzeev

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.04.014

zbMATH Keywords

Adomian decomposition methodnonlinear ordinary differential equationssingular initial value problems

Mathematics Subject Classification ID

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

Related Items (5)

Application of parameter expansion method to the generalized nonlinear discontinuity equation ⋮ New results on the analytic summation of Adomian series for some classes of differential and integral equations ⋮ On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and Adomian decomposition method ⋮ Piecewise finite series solutions of seasonal diseases models using multistage Adomian method ⋮ Approximate analytical solution for the fractional modified Kdv by differential transform method

Cites Work

• Adomian decomposition method for solution of nonlinear differential algebraic equations
• On the convergence of Adomian decomposition method
• Modified Adomian decomposition method for specific second order ordinary differential equations
• A reliable modification of Adomian decomposition method
• The existence of noise terms for systems of inhomogeneous differential and integral equations
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Convergence of Adomian's decomposition method: periodic temperatures.
• Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• New ideas for proving convergence of decomposition methods
• Adomian's polynomials for nonlinear operators
• Adomian decomposition method for solution of differential-algebraic equations
• Adomian decomposition method with Chebyshev polynomials

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