G. Adomian

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All published works

Action	Title	Year	Authors
+	Nonlinear dissipative wave equations	1998	G. Adomian
+	Solutions of nonlinear P.D.E.	1998	G. Adomian
+	Analytic solution of nonlinear integral equations of Hammerstein type	1998	G. Adomian
+	Numerical integration, analytic continuation, and decomposition	1997	G. Adomian Randolph Rach Ronald E. Meyers
+	Explicit solutions of nonlinear partial differential equations	1997	G. Adomian
+	On KdV type equations	1997	G. Adomian
+	Non-perturbative solution of the Klein-Gordon-Zakharov equation	1997	G. Adomian
+	A nonperturbative analytical solution of immune response with time-delays and possible generalization	1996	G. Adomian Y. Cherruault K. Abbaoui
+	The dissipative sine-Gordon equation	1996	G. Adomian
+	Nonlinear Klein-Gordon equation	1996	G. Adomian
+	Solution of coupled nonlinear partial differential equations by decomposition	1996	G. Adomian
+ PDF Chat	The fifth‐order Korteweg‐de Vries equation	1996	G. Adomian
+	Generalized nonlinear Schrödinger equation with time-dependent dissipation	1995	G. Adomian Ronald E. Meyers
+	Random volterra integral equations	1995	G. Adomian
+	The nikolaevskiy model for nonlinear seismic waves	1995	G. Adomian
+	On the analytic solution of the lane-emden equation	1995	G. Adomian Randolph Rach Nabil Shawagfeh
+	Fisher-Kolmogorov equation	1995	G. Adomian
+	The generalized Kolmogorov-Petrovskii-Piskunov equation	1995	G. Adomian
+	Isentropic flow of an inviscid gas	1995	G. Adomian Ronald E. Meyers
+	Further remarks on convergence of decomposition method	1995	Y. Cherruault G. Adomian K. Abbaoui Randolph Rach
+	On the solution of boundary value problem. The decomposition method	1994	E.S. Lee G. Adomian
+	Solution of nonlinear evolution equations	1994	G. Adomian
+	Analytic solutions for time-dependent Schrödinger equations with linear of nonlinear Hamiltonians	1994	G. Adomian H. J. Efinger
+	Modified decomposition solution of linear and nonlinear boundary-value problems	1994	G. Adomian Randolph Rach
+	Solution of physical problems by decomposition	1994	G. Adomian
+	Solving frontier problems of physics : the decomposition methoc [i.e. method]	1994	G. Adomian
+	Decomposition methods: A new proof of convergence	1993	Y. Cherruault G. Adomian
+	A new algorithm for matching boundary conditions in decomposition solutions	1993	G. Adomian Randolph Rach
+	Solution of Nonlinear Partial Differential Equations in One, Two, Three, and Four Dimensions	1993	G. Adomian Randolph Rach
+	Analytic Solution of Nonlinear Boundary-Value Problems in Several Dimensions by Decomposition	1993	G. Adomian Randolph Rach
+	Modified decomposition solution of nonlinear partial differential equations	1992	G. Adomian Randolph Rach
+	Generalization of adomian polynomials to functions of several variables	1992	G. Adomian Randolph Rach
+	Nonlinear transformation of series—part II	1992	G. Adomian Randolph Rach
+	Inhomogeneous nonlinear partial differential equations with variable coefficients	1992	G. Adomian Randolph Rach
+	Differential equations with singular coefficients	1992	Randolph Rach A. Baghdasarian G. Adomian
+	A modified decomposition	1992	Randolph Rach G. Adomian Ronald E. Meyers
+	A further consideration of partial solutions in the decomposition method	1992	G. Adomian Randolph Rach
+	An analytical solution of the stochastic Navier-Stokes system	1991	G. Adomian
+	Solving frontier problems modelled by nonlinear partial differential equations	1991	G. Adomian
+	Numerical algorithms and decomposition	1991	G. Adomian Randolph Rach Ronald E. Meyers
+	Transformation of series	1991	G. Adomian Randolph Rach
+	Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations	1990	G. Adomian Randolph Rach
+	Multiple decompositions for computational convenience	1990	Randolph Rach G. Adomian
+	Decomposition solution of nonlinear hyperbolic equations	1990	G. Adomian
+	Purely nonlinear differential equations	1990	G. Adomian Randolph Rach
+	On the solution of partial differential equations with specified boundary conditions	1989	G. Adomian Randolph Rach M. K. Elrod
+	A new approach to boundary value equations and application to a generalization of Airy's equation	1989	G. Adomian M. K. Elrod Randolph Rach
+	Smooth polynomial expansions of piecewise-differentiable functions	1989	Randolph Rach G. Adomian
+ PDF Chat	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations	1989	G. Adomian
+	Propagation in dissipative or dispersive media	1988	G. Adomian
+	An adaptation of the decomposition method for asymptotic solutions	1988	G. Adomian
+	The decomposition method applied to stiff systems	1988	G. Adomian Randolph Rach M. K. Elrod
+	A new approach to Burger's equation	1988	G. Adomian
+	Analysis of model equations of gas dynamics	1988	G. Adomian
+	Elliptic equations and decomposition	1988	G. Adomian
+	Corrigenda and comment on “A general approach to solution of partial differential equation systems”	1988	G. Adomian
+	Solving the nonlinear equations of physics	1988	G. Adomian
+	Application of decomposition to convection-diffusion equations	1988	G. Adomian
+	An investigation of the asymptotic decomposition method for nonlinear equations in physics	1987	G. Adomian
+	Explicit solutions for differential equations	1987	G. Adomian Randolph Rach
+	A new approach to the Efinger model for a nonlinear quantum theory for gravitating particles	1987	G. Adomian
+	Analytical solutions for ordinary and partial differential equations	1987	G. Adomian
+	A general approach to solution of partial differential equation systems	1987	G. Adomian
+	Nonlinear equations with mixed derivatives	1986	G. Adomian
+	Nonlinear hyperbolic initial value problem	1986	G. Adomian
+	Solution of the Navier-Stokes equation—I	1986	G. Adomian
+	The decomposition method for nonlinear dynamical systems	1986	G. Adomian
+	The noisy convergence phenomena in decomposition method solutions	1986	G. Adomian Randolph Rach
+	On the Tricomi problem	1986	G. Adomian Nicola Bellomo
+	Systems of nonlinear partial differential equations	1986	G. Adomian
+	State-delayed matrix differential-difference equations	1986	G. Adomian
+	On the solution of nonlinear differential equations with convolution product nonlinearities	1986	G. Adomian Randolph Rach
+	A coupled nonlinear system	1986	G. Adomian Randolph Rach
+	Existence of the inverse of a linear stochastic operator	1986	G. Adomian Karl Malakian
+ PDF Chat	Decomposition solution for Duffing and Van der Pol oscillators	1986	G. Adomian
+	ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD	1986	G. Adomian Randolph Rach
+	Solution of the Marchuk model of infectious disease and immune response	1986	G. Adomian G. Adomian
+	Nonlinear differential equations with negative power nonlinearities	1985	G. Adomian Randolph Rach
+	Discretization, decomposition, and supercomputers	1985	G. Adomian
+	On the convergence region for decomposition solutions	1984	G. Adomian
+	Convergent series solution of nonlinear equations	1984	G. Adomian
+	A new approach to nonlinear partial differential equations	1984	G. Adomian
+	A global method for solution of complex systems	1984	G. Adomian G. Adomian
+	Coupled nonlinear stochastic differential equations	1983	G. Adomian Leon H. Sibul Randolph Rach
+	Approximate calculation of Green's functions	1983	G. Adomian
+	Anharmonic oscillator systems	1983	G. Adomian Randolph Rach
+	Partial differential equations with integral boundary conditions	1983	G. Adomian
+	Existence and uniqueness of statistical measures for solution processes for linear-stochastic differential equations	1982	G. Adomian Karl Malakian
+	On Green's function in higher order stochastic differential equations	1982	G. Adomian
+	The stochastic Riccati equation	1980	Richard Bellman G. Adomian
+ PDF Chat	Symmetrized solutions for nonlinear stochastic differential equations	1980	G. Adomian Leon H. Sibul
+	Self-correcting approximate solution by the iterative method for linear and nonlinear stochastic differential equations	1980	G. Adomian Karl Malakian
+	Closure approximation error in the mean solution of stochastic differential equations by the hierarchy method	1979	G. Adomian Karl Malakian
+	On the existence of solutions for linear and nonlinear stochastic operator equations	1978	G. Adomian
+	Stochastic differential operator equations with random initial conditions	1977	G. Adomian Thomas M. Lynch
+	Note on orthonormal expansions	1974	Charles C Miao G. Adomian
+	Absolute Value Boundedness, Operator Decomposition, and Stochastic Media and Equations	1973	G. Adomian Cong-rong Miao
+ PDF Chat	Addendum: Linear Random Operator Equations in Mathematical Physics. III	1972	G. Adomian
+ PDF Chat	Erratum: Linear Random Operator Equations in Mathematical Physics. I	1971	G. Adomian
+	Linear Random Operator Equations in Mathematical Physics. III	1971	G. Adomian
+	Erratum: Random Operator Equations in Mathematical Physics. I	1971	G. Adomian
+	Stochastic Green’s functions	1964	G. Adomian

Common Coauthors

Coauthor	Papers Together
Randolph Rach	31
Ronald E. Meyers	5
Karl Malakian	4
M. K. Elrod	3
Y. Cherruault	3
K. Abbaoui	2
Leon H. Sibul	2
Cong-rong Miao	1
E.S. Lee	1
Nabil Shawagfeh	1
Charles C Miao	1
Nicola Bellomo	1
Thomas M. Lynch	1
Richard Bellman	1
A. Baghdasarian	1
H. J. Efinger	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Stochastic Operator Equations	1986	George Adomian	47
+	Nonlinear Stochastic Operator Equations	1986		38
+	Solving Frontier Problems of Physics: The Decomposition Method	1994	George Adomian	24
+	Convergence of Adomian's Method	1989	Y. Cherruault	13
+	Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations	1990	G. Adomian Randolph Rach	11
+	Nonlinear Stochastic Systems Theory and Applications to Physics	1988	George Adomian	9
+	Convergent series solution of nonlinear equations	1984	G. Adomian	9
+	Convergence of Adomian's method applied to differential equations	1994	K. Abbaoui Y. Cherruault	9
+	A convenient computational form for the Adomian polynomials	1984	Randolph Rach	8
+	New results for convergence of Adomian's method applied to integral equations	1992	Y. Cherruault Giuseppe Saccomandi Blaise Somé	6
+	Convergence of Adomian's Method and Applications to Non‐linear Partial Differential Equations	1992	T. Mavoungou Y. Cherruault	5
+	Convergence of Adomian's method applied to nonlinear equations	1994	K. Abbaoui Y. Cherruault	5
+	Transformation of series	1991	G. Adomian Randolph Rach	5
+	Solutions of nonlinear boundary value problems by the decomposition method	1986	Dante Bigi R. Riganti	4
+	Analytic Solution of Nonlinear Boundary-Value Problems in Several Dimensions by Decomposition	1993	G. Adomian Randolph Rach	4
+	Analysis of stochastic Van der Pol oscillators using the decomposition method	1986	Ida Bonzani	4
+	Decomposition solution of nonlinear hyperbolic equations	1990	G. Adomian	4
+	Decomposition methods: A new proof of convergence	1993	Y. Cherruault G. Adomian	4
+	A modified decomposition	1992	Randolph Rach G. Adomian Ronald E. Meyers	3
+	Coupled nonlinear stochastic differential equations	1983	G. Adomian Leon H. Sibul Randolph Rach	3
+	New ideas for proving convergence of decomposition methods	1995	K. Abbaoui Y. Cherruault	3
+	Stochastic Green’s functions	1964	G. Adomian	3
+	Coupled Nonlinear Stochastic Differential Equations	1986	George Adomian	3
+	Generalization of adomian polynomials to functions of several variables	1992	G. Adomian Randolph Rach	3
+	Partial Differential Equations: New Methods for Their Treatment and Solution	1984	Richard Bellman George Adomian	3
+	Solution of the Navier-Stokes equation—I	1986	G. Adomian	3
+	Practical formulae for the calculus of multivariable adomian polynomials	1995	K. Abbaoui Y. Cherruault Virginie Seng	3
+	Stochastic differential operator equations with random initial conditions	1977	G. Adomian Thomas M. Lynch	3
+	The theoretical foundation of the Adomian method	1994	Lionel Gabet	3
+	A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations	1985	Nicola Bellomo Roberto Monaco	3
+ PDF Chat	Symmetrized solutions for nonlinear stochastic differential equations	1980	G. Adomian Leon H. Sibul	3
+	The noisy convergence phenomena in decomposition method solutions	1986	G. Adomian Randolph Rach	3
+	A new approach to nonlinear partial differential equations	1984	G. Adomian	2
+	Modern nonlinear equations	1981	Thomas L. Saaty	2
+ PDF Chat	Random Differential Equations in Science and Engineering	1974	T. T. Soong J. L. Bogdanoff	2
+	Numerical algorithms and decomposition	1991	G. Adomian Randolph Rach Ronald E. Meyers	2
+	Multiple decompositions for computational convenience	1990	Randolph Rach G. Adomian	2
+	Numerical study of fisher's equation by Adomian's method	1994	T. Mavoungou Y. Cherruault	2
+	Modified decomposition solution of nonlinear partial differential equations	1992	G. Adomian Randolph Rach	2
+	On continuous approximate solutions of nonlinear differential equations	1987	Randolph Rach	1
+	Anharmonic oscillator systems	1983	G. Adomian Randolph Rach	1
+	Initial value problems for the Carleman equation	1980	Hans G. Kaper G. K. Leaf	1
+	Nonlinear transformation of series—part II	1992	G. Adomian Randolph Rach	1
+	A global method for solution of complex systems	1984	G. Adomian G. Adomian	1
+	Equations stochastiques du type Navier-Stokes	1973	Alain Bensoussan Roger Témam	1
+	Global smooth solution for the Klein–Gordon–Zakharov equations	1995	Boling Guo Yuan Guangwei	1
+	On certain nonlinear equations arising in self-consistent theories	1980	H. J. Efinger	1
+ PDF Chat	Decomposition solution for Duffing and Van der Pol oscillators	1986	G. Adomian	1
+	On bound state solutions for certain nonlinear Schr�dinger equations	1984	H. J. Efinger Harald Grosse	1
+ PDF Chat	Smoothing properties and retarded estimates for some dispersive evolution equations	1992	J. Ginibre G. Velo	1