A review of the decomposition method and some recent results for nonlinear equations

[1]  G. Adomian,et al.  GENERATION OF A STOCHASTIC PROCESS WITH DESIRED FIRST‐ AND SECOND‐ORDER STATISTICS , 1981 .

[2]  George Adomian,et al.  On composite nonlinearities and the decomposition method , 1986 .

[3]  George Adomian,et al.  Nonlinear stochastic differential delay equations , 1983 .

[4]  Randolph Rach,et al.  A convenient computational form for the Adomian polynomials , 1984 .

[5]  George Adomian,et al.  Coupled differential equations and coupled boundary conditions , 1985 .

[6]  A new approach to the Efinger model for a nonlinear quantum theory for gravitating particles , 1987 .

[7]  G. Adomian.  STOCHASTIC OPERATORS AND DYNAMICAL SYSTEMS , 1979 .

[8]  George Adomian,et al.  Nonlinear differential equations with negative power nonlinearities , 1985 .

[9]  L. H. Sibul,et al.  Coupled nonlinear stochastic differential equations , 1983 .

[10]  Vibration in offshore structures- part II , 1987 .

[11]  George Adomian,et al.  Solving nonlinear differential equations with decimal power nonlinearities , 1986 .

[12]  George Adomian,et al.  Smooth polynomial expansions of piecewise-differentiable functions , 1989 .

[13]  ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD , 1986 .

[14]  George Adomian.  On the convergence region for decomposition solutions , 1984 .

[15]  George Adomian,et al.  On the solution of equations containing radicals by the decomposition method , 1985 .

[16]  George Adomian,et al.  Convergent series solution of nonlinear equations , 1984 .

[17]  DECOMPOSITION SOLUTION FOR DUFFING AND VAN DER POL OSCILLATORS , 1986 .

[18]  George Adomian,et al.  STOCHASTIC GREEN'S FUNCTIONS, , 1964 .

[19]  Nicola Bellomo,et al.  A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations , 1985 .

[20]  A new computational approach for inversion of very large matrices , 1986 .

[21]  Solutions of nonlinear boundary value problems by the decomposition method , 1986 .

[22]  G. Adomian,et al.  Semilinear stochastic systems: Analysis with the method of the stochastic Green's function and application in mechanics , 1983 .

[23]  On Green's function in higher order stochastic differential equations , 1982 .

[24]  Nicola Bellomo,et al.  Nonlinear Stochastic Systems in Physics and Mechanics , 1987 .

[25]  Stochastic model for colored noise , 1982 .

[26]  The Tricomi Problem , 1989 .

[27]  G. Adomian,et al.  On the control of stochastic systems , 1981 .

[28]  G. Adomian.  NEW RESULTS IN STOCHASTIC EQUATIONS - THE NONLINEAR CASE , 1978 .

[29]  G. Adomian,et al.  Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations , 1990 .

[30]  Richard Bellman,et al.  Partial Differential Equations: New Methods for Their Treatment and Solution , 1984 .

[31]  R. Bellman,et al.  The stochastic Riccati equation , 1980 .

[32]  George Adomian,et al.  Nonlinear Stochastic Systems Theory and Applications to Physics , 1988 .

[33]  Nicola Bellomo,et al.  On Adomian's decomposition method and some comparisons with Picard's iterative scheme , 1987 .

[34]  G. Adomian,et al.  Solution of the Marchuk model of infectious disease and immune response , 1986 .

[35]  金吉 敬人,et al.  Theory of random systems , 1969 .

[36]  George Adomian.  Applied stochastic processes , 1980 .

[37]  Application of the decomposition method to inversion of matrices , 1985 .

[38]  Purely nonlinear differential equations , 1990 .

[39]  Nonlinear stochastic dynamical systems in physical problems , 1985 .

[40]  George Adomian,et al.  Linear Stochastic Operators , 1963 .

[41]  G. Adomian,et al.  On the solutions of stochastic initial-value problems in continuum mechanics , 1985 .

[42]  George Adomian,et al.  Algebraic equations with exponential terms , 1985 .

[43]  George Adomian,et al.  Polynomial nonlinearities in differential equations , 1985 .

[44]  G. Adomian.  Nonlinear Stochastic Operator Equations , 1986 .