Keywords: روش تجزیه Adomian; Jeffery-Hamel flow; Stretching/shrinking channels; Adomian's decomposition method; Non-linear ordinary differential equations;
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Approximate analytical solutions of generalized linear and nonlinear reaction–diffusion equations in an infinite domain
Keywords: روش تجزیه Adomian; Adomian's decomposition method; Fractional calculus; Fractional reaction–diffusion equations; Mittag-Leffler functions
Exact and numerical solutions of generalized Drinfeld–Sokolov equations
Keywords: روش تجزیه Adomian; 02.30.Jr; 02.60.Cb; 02.70.WzGeneralized Drinfeld–Sokolov equations; Tanh function method; Adomian's decomposition method; Exact traveling wave solutions; Numerical solutions
Semi-exact solution of elastic non-uniform thickness and density rotating disks by homotopy perturbation and Adomian's decomposition methods. Part I: Elastic solution
Keywords: روش تجزیه Adomian; Rotating annular disk; Variable thickness; Homotopy perturbation method; Variational iteration method; Adomian's decomposition method
The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
Keywords: روش تجزیه Adomian; Homotopy analysis method; Adomian's decomposition method; Homotopy perturbation method; Generalized Hirota–Satsuma coupled KdV equation
An approximation solution of a nonlinear equation with Riemann–Liouville's fractional derivatives by He's variational iteration method
Keywords: روش تجزیه Adomian; 65D15; 65K10; 65M99Variation method; Adomian's decomposition method; Fractional differential equation; Riemann-Liouville's fractional derivative; Fractional integral
Harmonic wave generation in non linear thermoelasticity by variational iteration method and Adomian's method
Keywords: روش تجزیه Adomian; 74B20; 65M99Nonlinear coupled thermoelasticity; Adomian's decomposition method; Variational iteration method
Numerical study of modified Adomian's method applied to Burgers equation
Keywords: روش تجزیه Adomian; 35C10; 65M20; 41A21Burgers equation; Adomian's decomposition method; Padé approximants; Method of lines
Solution of the porous media equation by Adomian's decomposition method
Keywords: روش تجزیه Adomian; 35Q53; 35B45; Adomian's decomposition method; Degenerate parabolic differential equation; Porous media; Unsteady heat transfer;
An application for linear and nonlinear heat equations by Adomian's decomposition method
Keywords: روش تجزیه Adomian; Adomian's decomposition method; Soliton-like; Cubic nonlinearity; Mathematical biology;
The decomposition method for continuous population models for single and interacting species
Keywords: روش تجزیه Adomian; Adomian's decomposition method; Single species; Interacting species; Logistic growth; Lotka-Volterra systems;