Derivation of the Adomian decomposition method using the homotopy analysis method
DOI10.1016/j.amc.2006.12.074zbMath1125.65063OpenAlexW2023910189MaRDI QIDQ2383728
Publication date: 19 September 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.12.074
analytical solutionconvergence criteriaerror analysisnonlinear differential equationmethod of decomposition in series
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Nonlinear ordinary differential operators (34L30)
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Cites Work
- On the analytic solutions of the nonhomogeneous Blasius problem
- A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations
- Decomposition method for solving fractional Riccati differential equations
- Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- The decomposition method for initial value problems
- A comparison between the variational iteration method and Adomian decomposition method
- The decomposition method for Cauchy reaction-diffusion problems
- A review of the decomposition method in applied mathematics
- Solution of the Thomas-Fermi equation
- The decomposition approach to inverse heat conduction
- A reliable modification of Adomian decomposition method
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Homotopy analysis of nonlinear progressive waves in deep water
- A note on the decomposition method for operator equations
- Convergence of Adomian's decomposition method: periodic temperatures.
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
- Decomposition methods for nonlinear, non-characteristic Cauchy heat problems
- A new modification of the Adomian decomposition method for linear and nonlinear operators
- Analytical approximate solutions for nonlinear fractional differential equations
- Homotopy perturbation method: a new nonlinear analytical technique
- The decomposition method for forward and backward time-dependent problems
- Construction of solutions for the shallow water equations by the decomposition method
- Analytic approximate solution for a nonlinear oscillator equation
- The decomposition method for Cauchy advection-diffusion problems
- Adomian decomposition method for a reliable treatment of the Bratu-type equations
- The modified decomposition method for analytic treatment of differential equations
- An approximation of the analytic solution of the shock wave equation
- The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain
- Decomposition method for solving nonlinear integro-differential equations
- Convergence of Adomian's Method
- Analytic solutions of the temperature distribution in Blasius viscous flow problems
- An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
- Variational iteration method for autonomous ordinary differential systems
- The modified decomposition method applied to unsteady flow of gas through a porous medium
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