Edit Profile (opens in new tab) Adomian, George Compute Distance To: Compute Author ID: adomian.george Published as: Adomian, G.; Adomian, George; Adomian, Georg more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 195 Publications since 1963, including 6 Books 1 Contribution as Editor Reviewing Activity: 11 Reviews Biographic References: 2 Publications Co-Authors: 15 Co-Authors with 86 Joint Publications 373 Co-Co-Authors all top 5 Co-Authors 101 single-authored 55 Rach, Randolph C. 10 Meyers, Ronald E. 7 Malakian, K. 5 Adomian, Gerald E. 4 Bellman, Richard Ernest 4 Elrod, M. 4 Sibul, Leon H. 2 Bellomo, Nicola 2 Cherruault, Yves 2 Riganti, Riccardo 2 Sarafyan, Diran 2 Serrano, Sergio E. 2 Witten, Matthew 1 Abbaoui, Karim 1 Ambartzumian, Ruben Victorovich 1 Bigi, Dante 1 Lynch, Thomas W. 1 Miao, Charles C. 1 Shawagfeh, Nabil T. all top 5 Serials 54 Journal of Mathematical Analysis and Applications 23 Computers & Mathematics with Applications 21 Applied Mathematics and Computation 21 Applied Mathematics Letters 11 Mathematical and Computer Modelling 6 Journal of Computational and Applied Mathematics 5 Kybernetes 5 Mathematical Modelling 4 International Journal of Mathematics and Mathematical Sciences 4 Mathematics and Computers in Simulation 3 Journal of Mathematical Physics 3 Computers and Mathematics with Applications. Part A 2 Journal of Mathematical and Physical Sciences 2 Journal of Approximation Theory 2 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 2 Mathematical Modelling and Scientific Computing 2 Mathematics and its Applications (Dordrecht) 2 Nonlinear Analysis. Theory, Methods & Applications 1 Reviews of Modern Physics 1 Physica D 1 Proceedings of the National Academy of Sciences of the United States of America 1 Fundamental Theories of Physics 1 Mathematics in Science and Engineering all top 5 Fields 75 Partial differential equations (35-XX) 70 Probability theory and stochastic processes (60-XX) 52 Ordinary differential equations (34-XX) 50 Numerical analysis (65-XX) 20 Systems theory; control (93-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 5 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 165 Publications have been cited 4,037 times in 1,933 Documents Cited by ▼ Year ▼ Solving frontier problems of physics: the decomposition method. Zbl 0802.65122Adomian, George 1,104 1994 A review of the decomposition method in applied mathematics. Zbl 0671.34053Adomian, G. 500 1988 Decomposition methods: A new proof of convergence. Zbl 0805.65057Cherruault, Y.; Adomian, G. 208 1993 Nonlinear equations with mixed derivatives. Zbl 0614.35013Adomian, G. 192 1986 Inversion of nonlinear stochastic operators. Zbl 0504.60066Adomian, G.; Rach, R. 158 1983 A review of the decomposition method and some recent results for nonlinear equations. Zbl 0713.65051Adomian, G. 144 1990 Nonlinear stochastic systems theory and applications to physics. Zbl 0659.93003Adomian, George 138 1989 Nonlinear stochastic differential delay equations. Zbl 0504.60067Adomian, G.; Rach, R. 100 1983 Noise terms in decomposition solution series. Zbl 0777.35018Adomian, G.; Rach, R. 81 1992 A new approach to nonlinear partial differential equations. Zbl 0554.60065Adomian, G. 79 1984 A review of the decomposition method and some recent results for nonlinear equations. Zbl 0732.35003Adomian, G. 73 1991 Nonlinear stochastic operator equations. Zbl 0609.60072Adomian, George 72 1986 Nonlinear stochastic differential equations. Zbl 0351.60053Adomian, G. 65 1976 Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition. Zbl 0796.35017Adomian, G.; Rach, R. 64 1993 Solution of physical problems by decomposition. Zbl 0803.35020Adomian, G. 61 1994 On the solution of algebraic equations by the decomposition method. Zbl 0552.60060Adomian, G.; Rach, R. 55 1985 Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. Zbl 0702.35058Adomian, G.; Rach, R. 51 1990 Convergent series solution of nonlinear equations. Zbl 0549.65034Adomian, G. 50 1984 Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations. Zbl 0698.35099Adomian, G. 49 1989 Stochastic systems. Zbl 0523.60056Adomian, George 48 1983 Modified decomposition solution of linear and nonlinear boundary-value problems. Zbl 0810.34015Adomian, G.; Rach, R. 43 1994 A new approach to the heat equation - an application of the decomposition method. Zbl 0606.35037Adomian, G. 40 1986 The diffusion-Brusselator equation. Zbl 0827.35056Adomian, G. 39 1995 Modified Adomian polynomials. Zbl 0874.65051Adomian, G.; Rach, R. 35 1996 A global method for solution of complex systems. Zbl 0556.93005Adomian, G.; Adomian, G. E. 35 1984 Solutions of nonlinear P. D. E. Zbl 0933.65121Adomian, G. 35 1998 Solving the nonlinear equations of physics. Zbl 0666.60061Adomian, G. 33 1988 Solution of the Thomas-Fermi equation. Zbl 0947.34501Adomian, G. 33 1998 A modified decomposition. Zbl 0756.35013Rach, R.; Adomian, G.; Meyers, R. E. 32 1992 Partial differential equations. New methods for their treatment and solution. Zbl 0557.35003Bellman, Richard; Adomian, George 30 1985 Transformation of series. Zbl 0742.40004Adomian, G.; Rach, R. 29 1991 An efficient methodology for the physical sciences. Zbl 0744.65039Adomian, G.; Rach, R. C.; Meyers, R. E. 28 1991 Modification of the decomposition approach to the heat equation. Zbl 0693.35068Adomian, G. 24 1987 Solving frontier problems modelled by nonlinear partial differential equations. Zbl 0767.35016Adomian, G. 23 1991 Polynomial nonlinearities in differential equations. Zbl 0606.34009Adomian, G.; Rach, R. 20 1985 Generalization of Adomian polynomials to functions of several variables. Zbl 0765.34005Adomian, G.; Rach, R. 19 1992 A new algorithm for matching boundary conditions in decomposition solutions. Zbl 0780.65045Adomian, G.; Rach, R. 16 1993 On composite nonlinearities and the decomposition method. Zbl 0617.65046Adomian, G.; Rach, R. 16 1986 Nonlinear transformation of series. II. Zbl 0768.40001Adomian, G.; Rach, R. 15 1992 Non-perturbative solution of the Klein-Gordon-Zakharov equation. Zbl 0869.65063Adomian, G. 14 1997 Stochastic systems analysis. Zbl 0474.60050Adomian, G. 14 1980 On the convergence region for decomposition solutions. Zbl 0547.65053Adomian, G. 14 1984 Numerical integration, analytic continuation, and decomposition. Zbl 0905.65079Adomian, G.; Rach, R. C.; Meyers, R. E. 14 1997 The noisy convergence phenomena in decomposition method solutions. Zbl 0616.65084Adomian, G.; Rach, R. 14 1986 A new approach to boundary value equations and application to a generalization of Airy’s equation. Zbl 0678.65057Adomian, G.; Elrod, M.; Rach, R. 13 1989 Operator-theoretic solution of stochastic systems. Zbl 0441.60070Adomian, G.; Malakian, K. 13 1980 Algebraic computation and the decomposition method. Zbl 0604.60064Adomian, G.; Rach, R. 13 1986 Numerical algorithms and decomposition. Zbl 0728.65068Adomian, G.; Rach, R.; Meyers, Ronald E. 12 1991 An investigation of the asymptotic decomposition method for nonlinear equations in physics. Zbl 0637.65086Adomian, G. 12 1987 Explicit solutions of nonlinear partial differential equations. Zbl 0904.35077Adomian, G. 12 1997 Differential equations with singular coefficients. Zbl 0748.65066Rach, R.; Baghdasarian, A.; Adomian, G. 11 1992 A further consideration of partial solutions in the decomposition method. Zbl 0756.35012Adomian, G.; Rach, R. 11 1992 On the solution of partial differential equations with specified boundary conditions. Zbl 0678.65084Adomian, G.; Rach, R.; Elrod, M. 11 1989 Cellular systems and aging models. Zbl 0565.92017Adomian, G.; Adomian, G. E. 11 1985 Nonlinear stochastic dynamical systems in physical problems. Zbl 0582.60067Adomian, G. 11 1985 Linear stochastic operators. Zbl 0114.08503Adomian, G. 10 1963 Stochastic analysis. Zbl 0523.60058Adomian, G.; Malakian, K. 10 1980 Modified decomposition solution of nonlinear partial differential equations. Zbl 0794.35023Adomian, G.; Rach, R. 10 1992 On the solution of equations containing radicals by the decomposition method. Zbl 0579.60060Adomian, G.; Rach, R.; Sarafyan, D. 10 1985 Stochastic water reservoir modeling. Zbl 0596.60094Adomian, G. 10 1986 On linear and nonlinear integro-differential equations. Zbl 0601.45009Adomian, G.; Rach, R. 10 1986 Application of the decomposition method to inversion of matrices. Zbl 0598.65011Adomian, G.; Rach, R. 9 1985 A nonlinear differential delay equation. Zbl 0504.60068Adomian, G.; Rach, R. 9 1983 Non-perturbative analytical solution of the general Lotka-Volterra three-species system. Zbl 0846.65034Shawagfeh, N. T.; Adomian, G. 9 1996 Coupled differential equations and coupled boundary conditions. Zbl 0579.60057Adomian, G.; Rach, R. 9 1985 On product nonlinearities in stochastic differential equations. Zbl 0454.60060Adomian, G. 9 1981 Symmetrized solutions for nonlinear stochastic differential equations. Zbl 0465.60057Adomian, G.; Sibul, L. H. 9 1981 Numerical solution of differential equations in the deterministic limit of stochastic theory. Zbl 0466.65046Adomian, G.; Sarafyan, D. 8 1981 On the control of stochastic systems. Zbl 0476.93077Adomian, G.; Sibul, L. H. 8 1981 Errata to “A review of the decomposition method and some recent results for nonlinear equations”. Zbl 0758.35003Adomian, G. 8 1991 Solution of coupled nonlinear partial differential equations by decomposition. Zbl 0846.35029Adomian, G. 8 1996 Inhomogeneous nonlinear partial differential equations with variable coefficients. Zbl 0758.35023Adomian, G.; Rach, R. 8 1992 Solving frontier problems …. Zbl 0814.47070Adomian, G. 8 1993 Generation of a stochastic process with desired first- and second-order statistics. Zbl 0444.60048Adomian, G.; Elrod, M. 8 1981 Stochastic Green’s formula and application to stochastic differential equations. Zbl 0371.60073Adomian, G.; Sibul, Leon H. 7 1977 Stochastic Green’s functions. Zbl 0139.34205Adomian, G. 7 1964 Semilinear stochastic systems: Analysis with the method of the stochastic Green’s function and application in mechanics. Zbl 0523.60057Adomian, G.; Bellomo, N.; Riganti, R. 7 1983 Nonlinear transport in moving fluids. Zbl 0787.35069Adomian, G.; Meyers, Ronald E. 7 1993 Multiple decompositions for computational convenience. Zbl 0707.34008Rach, R.; Adomian, G. 7 1990 An adaptation of the decomposition method for asymptotic solutions. Zbl 0653.65057Adomian, G. 7 1988 Algebraic equations with exponential terms. Zbl 0579.60058Adomian, G.; Rach, R. 7 1985 Nonlinear differential equations with negative power nonlinearities. Zbl 0579.60059Adomian, G.; Rach, R. 7 1985 Solving nonlinear differential equations with decimal power nonlinearities. Zbl 0591.60052Adomian, G.; Rach, R. 7 1986 Decomposition solution for Duffing and Van der Pol oscillators. Zbl 0605.34036Adomian, G. 7 1986 Stochastic contaminant transport equation in porous media. Zbl 1075.76672Adomian, G.; Serrano, S. E. 6 1998 A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021Adomian, G.; Cherruault, Y.; Abbaoui, K. 6 1996 Coupled nonlinear stochastic differential equations. Zbl 0517.60064Adomian, G.; Sibul, L. H.; Rach, R. 6 1983 On the solution of boundary value problem. The decomposition method. Zbl 0843.34026Lee, E. S.; Adomian, G. 6 1994 Nonlinear Klein-Gordon equation. Zbl 0856.35118Adomian, G. 6 1996 Linear random operator equations in mathematical physics. II. Zbl 0224.35075Adomian, G. 6 1971 Application of the decomposition method to the Navier-Stokes equations. Zbl 0646.35063Adomian, G. 6 1986 The stochastic Riccati equation. Zbl 0447.60044Bellman, R.; Adomian, G. 6 1980 Biological system interactions. Zbl 0534.92003Adomian, G.; Adomian, G. E.; Bellman, R. E. 5 1984 Solution of nonlinear stochastic physical problems. Zbl 0491.60066Adomian, G. 5 1982 Solution of nonlinear partial differential equations in one, two, three, and four dimensions. Zbl 0834.65058Adomian, G.; Rach, R. 5 1993 Application of decomposition to convection-diffusion equations. Zbl 0631.65119Adomian, G. 5 1988 The decomposition method applied to stiff systems. Zbl 0645.65040Adomian, G.; Rach, R.; Elrod, M. 5 1988 On the solutions of stochastic initial-value problems in continuum mechanics. Zbl 0582.60066Adomian, G.; Bigi, D.; Riganti, R. 5 1985 On the solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0588.34004Adomian, G.; Rach, R. 5 1986 The solution of general linear and nonlinear stochastic systems. Zbl 0426.93048Adomian, G. 5 1977 Solutions of nonlinear P. D. E. Zbl 0933.65121Adomian, G. 35 1998 Solution of the Thomas-Fermi equation. Zbl 0947.34501Adomian, G. 33 1998 Stochastic contaminant transport equation in porous media. Zbl 1075.76672Adomian, G.; Serrano, S. E. 6 1998 Nonlinear dissipative wave equations. Zbl 0933.65119Adomian, G. 3 1998 Analytic solution of nonlinear integral equations of Hammerstein type. Zbl 0933.65148Adomian, G. 2 1998 Non-perturbative solution of the Klein-Gordon-Zakharov equation. Zbl 0869.65063Adomian, G. 14 1997 Numerical integration, analytic continuation, and decomposition. Zbl 0905.65079Adomian, G.; Rach, R. C.; Meyers, R. E. 14 1997 Explicit solutions of nonlinear partial differential equations. Zbl 0904.35077Adomian, G. 12 1997 On KdV type equations. Zbl 0904.35078Adomian, G. 4 1997 On the dynamics of a reaction-diffusion system. Zbl 0869.65062Adomian, G. 1 1997 Modified Adomian polynomials. Zbl 0874.65051Adomian, G.; Rach, R. 35 1996 Non-perturbative analytical solution of the general Lotka-Volterra three-species system. Zbl 0846.65034Shawagfeh, N. T.; Adomian, G. 9 1996 Solution of coupled nonlinear partial differential equations by decomposition. Zbl 0846.35029Adomian, G. 8 1996 A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021Adomian, G.; Cherruault, Y.; Abbaoui, K. 6 1996 Nonlinear Klein-Gordon equation. Zbl 0856.35118Adomian, G. 6 1996 New contributions to the solution of transport equations in porous media. Zbl 0923.76324Serrano, S. E.; Adomian, G. 2 1996 The fifth-order Korteweg-de Vries equation. Zbl 0848.35111Adomian, G. 1 1996 The Kadomtsev-Petviashvili equation. Zbl 0846.65074Adomian, G. 1 1996 The Burridge-Knopoff model. Zbl 0960.74510Adomian, G. 1 1996 Coupled Maxwell equations for electromagnetic scattering. Zbl 0853.65135Adomian, G. 1 1996 The diffusion-Brusselator equation. Zbl 0827.35056Adomian, G. 39 1995 Fisher-Kolmogorov equation. Zbl 0823.35087Adomian, G. 4 1995 Random Volterra integral equations. Zbl 0833.60061Adomian, G. 3 1995 Delayed nonlinear dynamical systems. Zbl 0830.65072Adomian, G. 2 1995 The Nikolaevskiy model for nonlinear seismic waves. Zbl 0825.73132Adomian, G. 2 1995 Isentropic flow of an inviscid gas. Zbl 0817.76073Adomian, G.; Meyers, R. E. 1 1995 Stochastic Burgers’ equation. Zbl 0833.60062Adomian, G. 1 1995 Generalized nonlinear Schrödinger equation with time-dependent dissipation. Zbl 0841.35028Adomian, G.; Meyers, R. E. 1 1995 Solving frontier problems of physics: the decomposition method. Zbl 0802.65122Adomian, George 1,104 1994 Solution of physical problems by decomposition. Zbl 0803.35020Adomian, G. 61 1994 Modified decomposition solution of linear and nonlinear boundary-value problems. Zbl 0810.34015Adomian, G.; Rach, R. 43 1994 On the solution of boundary value problem. The decomposition method. Zbl 0843.34026Lee, E. S.; Adomian, G. 6 1994 Solution of nonlinear evolution equations. Zbl 0825.35055Adomian, G. 4 1994 Decomposition methods: A new proof of convergence. Zbl 0805.65057Cherruault, Y.; Adomian, G. 208 1993 Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition. Zbl 0796.35017Adomian, G.; Rach, R. 64 1993 A new algorithm for matching boundary conditions in decomposition solutions. Zbl 0780.65045Adomian, G.; Rach, R. 16 1993 Solving frontier problems …. Zbl 0814.47070Adomian, G. 8 1993 Nonlinear transport in moving fluids. Zbl 0787.35069Adomian, G.; Meyers, Ronald E. 7 1993 Solution of nonlinear partial differential equations in one, two, three, and four dimensions. Zbl 0834.65058Adomian, G.; Rach, R. 5 1993 Analytical solution of the stochastic Navier-Stokes system. Zbl 0925.35121Adomian, G. 1 1993 Noise terms in decomposition solution series. Zbl 0777.35018Adomian, G.; Rach, R. 81 1992 A modified decomposition. Zbl 0756.35013Rach, R.; Adomian, G.; Meyers, R. E. 32 1992 Generalization of Adomian polynomials to functions of several variables. Zbl 0765.34005Adomian, G.; Rach, R. 19 1992 Nonlinear transformation of series. II. Zbl 0768.40001Adomian, G.; Rach, R. 15 1992 Differential equations with singular coefficients. Zbl 0748.65066Rach, R.; Baghdasarian, A.; Adomian, G. 11 1992 A further consideration of partial solutions in the decomposition method. Zbl 0756.35012Adomian, G.; Rach, R. 11 1992 Modified decomposition solution of nonlinear partial differential equations. Zbl 0794.35023Adomian, G.; Rach, R. 10 1992 Inhomogeneous nonlinear partial differential equations with variable coefficients. Zbl 0758.35023Adomian, G.; Rach, R. 8 1992 A review of the decomposition method and some recent results for nonlinear equations. Zbl 0732.35003Adomian, G. 73 1991 Transformation of series. Zbl 0742.40004Adomian, G.; Rach, R. 29 1991 An efficient methodology for the physical sciences. Zbl 0744.65039Adomian, G.; Rach, R. C.; Meyers, R. E. 28 1991 Solving frontier problems modelled by nonlinear partial differential equations. Zbl 0767.35016Adomian, G. 23 1991 Numerical algorithms and decomposition. Zbl 0728.65068Adomian, G.; Rach, R.; Meyers, Ronald E. 12 1991 Errata to “A review of the decomposition method and some recent results for nonlinear equations”. Zbl 0758.35003Adomian, G. 8 1991 Solution of nonlinear ordinary and partial differential equations of physics. Zbl 0792.34006Adomian, G.; Rach, R. 4 1991 The sine-Gordon, Klein-Gordon, and Korteweg-de Vries equations. Zbl 0727.65115Adomian, G. 1 1991 A review of the decomposition method and some recent results for nonlinear equations. Zbl 0713.65051Adomian, G. 144 1990 Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. Zbl 0702.35058Adomian, G.; Rach, R. 51 1990 Multiple decompositions for computational convenience. Zbl 0707.34008Rach, R.; Adomian, G. 7 1990 Decomposition solution of nonlinear hyperbolic equations. Zbl 0729.65072Adomian, G. 3 1990 Purely nonlinear differential equations. Zbl 0698.34013Adomian, G.; Rach, R. 2 1990 Nonlinear stochastic systems theory and applications to physics. Zbl 0659.93003Adomian, George 138 1989 Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations. Zbl 0698.35099Adomian, G. 49 1989 A new approach to boundary value equations and application to a generalization of Airy’s equation. Zbl 0678.65057Adomian, G.; Elrod, M.; Rach, R. 13 1989 On the solution of partial differential equations with specified boundary conditions. Zbl 0678.65084Adomian, G.; Rach, R.; Elrod, M. 11 1989 Smooth polynomial expansions of piecewise-differentiable functions. Zbl 0721.41043Rach, R.; Adomian, G. 4 1989 Analytic parametrization and the decomposition method. Zbl 0754.60066Adomian, G.; Rach, R. 3 1989 Comments on a “counterexample” to decomposition. Zbl 0673.65077Adomian, G. 2 1989 A review of the decomposition method in applied mathematics. Zbl 0671.34053Adomian, G. 500 1988 Solving the nonlinear equations of physics. Zbl 0666.60061Adomian, G. 33 1988 An adaptation of the decomposition method for asymptotic solutions. Zbl 0653.65057Adomian, G. 7 1988 Application of decomposition to convection-diffusion equations. Zbl 0631.65119Adomian, G. 5 1988 The decomposition method applied to stiff systems. Zbl 0645.65040Adomian, G.; Rach, R.; Elrod, M. 5 1988 Analytic solutions for nonlinear equations. Zbl 0666.34007Adomian, G. 3 1988 A general approach for complex systems. Zbl 0649.93013Adomian, G. 3 1988 Evaluation of integrals by decomposition. Zbl 0648.65063Adomian, G.; Rach, R. 2 1988 An application of the decomposition method to the matrix Riccati equation in a neutron transport process. Zbl 0673.34007Adomian, G.; Pandolfi, M.; Rach, R. 2 1988 Elliptic equations and decomposition. Zbl 0699.35057Adomian, G. 1 1988 Propagation in dissipative or dispersive media. Zbl 0653.35013Adomian, G. 1 1988 Modification of the decomposition approach to the heat equation. Zbl 0693.35068Adomian, G. 24 1987 An investigation of the asymptotic decomposition method for nonlinear equations in physics. Zbl 0637.65086Adomian, G. 12 1987 Analytical solutions for ordinary and partial differential equations. Zbl 0641.35002Adomian, G. 2 1987 Explicit solutions for differential equations. Zbl 0635.34003Adomian, G.; Rach, R. 1 1987 A general approach to solution of partial differential equation systems. Zbl 0648.35009Adomian, G. 1 1987 A new analysis for nonlinear systems. Zbl 0658.65148Adomian, G. 1 1987 Nonlinear equations with mixed derivatives. Zbl 0614.35013Adomian, G. 192 1986 Nonlinear stochastic operator equations. Zbl 0609.60072Adomian, George 72 1986 A new approach to the heat equation - an application of the decomposition method. Zbl 0606.35037Adomian, G. 40 1986 On composite nonlinearities and the decomposition method. Zbl 0617.65046Adomian, G.; Rach, R. 16 1986 The noisy convergence phenomena in decomposition method solutions. Zbl 0616.65084Adomian, G.; Rach, R. 14 1986 Algebraic computation and the decomposition method. Zbl 0604.60064Adomian, G.; Rach, R. 13 1986 Stochastic water reservoir modeling. Zbl 0596.60094Adomian, G. 10 1986 On linear and nonlinear integro-differential equations. Zbl 0601.45009Adomian, G.; Rach, R. 10 1986 Solving nonlinear differential equations with decimal power nonlinearities. Zbl 0591.60052Adomian, G.; Rach, R. 7 1986 Decomposition solution for Duffing and Van der Pol oscillators. Zbl 0605.34036Adomian, G. 7 1986 Application of the decomposition method to the Navier-Stokes equations. Zbl 0646.35063Adomian, G. 6 1986 On the solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0588.34004Adomian, G.; Rach, R. 5 1986 Solution of the Marchuk model of infectious disease and immune response. Zbl 0604.92006Adomian, G.; Adomian, G. E. 5 1986 Systems of nonlinear partial differential equations. Zbl 0606.35012Adomian, G. 5 1986 A new computational approach for inversion of very large matrices. Zbl 0613.65023Adomian, G.; Rach, R. 5 1986 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,988 Authors 117 Wazwaz, Abdul-Majid Abdul-Rahman 108 Adomian, George 81 Rach, Randolph C. 43 Kaya, Doǧan 41 Cherruault, Yves 34 Ganji, Davood Domiri 30 Momani, Shaher M. 27 Biazar, Jafar 26 Dehghan Takht Fooladi, Mehdi 23 Duan, Junsheng 22 Abbasbandy, Saeid 20 Daftardar-Gejji, Varsha 20 Hashim, Ishak 19 Al-Khaled, Kamel M. 19 El-Sayed, Salah M. 19 Inc, Mustafa 19 Khuri, Suheil A. 18 Băleanu, Dumitru I. 18 Noor, Muhammad Aslam 18 Yıldırım, Ahmet 17 Babolian, Esmail 17 Bougoffa, Lazhar 17 Ramos, Juan I. 15 Lesnic, Daniel 15 Noorani, Mohd Salmi Mohd 15 Singh, Randhir 14 Jafari, Hossein 12 Abbaoui, Karim 12 Bellomo, Nicola 12 Ebaid, Abdelhalim 12 Evans, David John 12 Kiliçman, Adem 12 Liao, Shijun 12 Odibat, Zaid M. 11 Kumar, Jitendra 11 Noor, Khalida Inayat 11 Raslan, Kamal Raslan 11 Syam, Muhammed I. 10 Meyers, Ronald E. 10 Nelakanti, Gnaneshwar 10 Rabbani, Mohsen 10 Riganti, Riccardo 9 Bhalekar, Sachin 9 Bulut, Hasan 9 Deeba, Elias Y. 9 Islam, Saeed 9 Kumar, Devendra 9 Motsa, Sandile Sydney 9 Singh, Jagdev 9 Vázquez-Leal, Héctor 9 Zhu, Yonggui 8 Abassy, Tamer A. 8 Al-Hayani, Waleed 8 Arab, Reza 8 El-Kalla, Ibrahim L. 8 El-Tawil, Magdy A. 8 Filobello-Nino, Uriel A. 8 González-Gaxiola, Oswaldo 8 Hazarika, Bipan 8 Khan, Yasir 8 Shawagfeh, Nabil T. 8 Sibanda, Precious 8 Siddiqui, Abdul Majeed 8 Vahidi, A. R. 7 Abolghasemi, Hossein 7 Bodmann, Bardo Ernst Josef 7 El-Sayed, Ahmed Mohamed Ahmed 7 Fatoorehchi, Hooman 7 Mohyud-Din, Syed Tauseef 7 Saha Ray, Santanu 7 Sun, Kehui 7 Tatari, Mehdi 7 Vellaisamy, Palaniappan 6 Argyros, Ioannis Konstantinos 6 Attili, Basem S. 6 Bildik, Necdet 6 Biswas, Anjan 6 Casasús, Luis 6 Chaolu, Temuer 6 Chun, Changbum 6 Darvishi, Mohammad Taghi 6 Datta, Barun Kumar 6 Ganji, Z. Z. 6 Hamoud, Ahmed Abdullah 6 He, Shaobo 6 Hryniewicz, Zdzisław 6 Jang, Bongsoo 6 Jimenez-Fernandez, Victor Manuel 6 Kataria, Kuldeep Kumar 6 Khader, Mohamed M. 6 Khan, Majid Ali 6 Malakian, K. 6 Maleknejad, Khosrow 6 Marinca, Vasile 6 Paré, Youssouf 6 Rajagopal, Karthikeyan 6 Rashidi, Mohammad Mehdi 6 Rawashdeh, Mahmoud Saleh 6 Serrano, Sergio E. 6 Srivastava, Hari Mohan ...and 1,888 more Authors all top 5 Cited in 242 Serials 399 Applied Mathematics and Computation 120 Computers & Mathematics with Applications 73 Chaos, Solitons and Fractals 71 Journal of Mathematical Analysis and Applications 66 International Journal of Computer Mathematics 61 Journal of Computational and Applied Mathematics 57 Mathematical and Computer Modelling 57 Communications in Nonlinear Science and Numerical Simulation 46 Applied Mathematics Letters 42 Applied Mathematical Modelling 41 Abstract and Applied Analysis 40 International Journal of Applied and Computational Mathematics 39 Mathematical Problems in Engineering 38 Kybernetes 34 Physics Letters. A 27 Numerical Methods for Partial Differential Equations 21 Journal of Applied Mathematics 20 International Journal of Numerical Methods for Heat & Fluid Flow 19 Mathematics and Computers in Simulation 19 Computational and Applied Mathematics 19 Journal of Applied Mathematics and Computing 19 Advances in Difference Equations 16 Journal of Mathematical Chemistry 15 Discrete Dynamics in Nature and Society 14 Journal of the Egyptian Mathematical Society 12 Numerical Algorithms 12 Nonlinear Dynamics 11 Computer Methods in Applied Mechanics and Engineering 11 Mathematical Methods in the Applied Sciences 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Journal of Function Spaces 10 Acta Applicandae Mathematicae 10 Advances in Mathematical Physics 10 AIMS Mathematics 9 International Journal of Modern Physics B 9 International Journal of Differential Equations 8 Acta Mechanica 8 International Journal of Computational Methods 7 Computer Physics Communications 7 Fractional Calculus & Applied Analysis 7 International Journal for Numerical Methods in Biomedical Engineering 6 Applicable Analysis 6 Physica A 6 International Journal of Mathematics and Mathematical Sciences 6 Applied Numerical Mathematics 6 Nonlinear Analysis. Real World Applications 6 S\(\vec{\text{e}}\)MA Journal 6 Mathematical Sciences 5 Computers and Fluids 5 Journal of the Franklin Institute 5 Applied Mathematics and Mechanics. (English Edition) 5 Stochastic Hydrology and Hydraulics 5 Engineering Analysis with Boundary Elements 5 Asian-European Journal of Mathematics 5 Advances in Differential Equations and Control Processes 5 Computational Methods for Differential Equations 4 International Journal of Mathematical Education in Science and Technology 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Computational Physics 4 International Journal for Numerical Methods in Engineering 4 Journal of the Nigerian Mathematical Society 4 Computers and Mathematics with Applications. Part A 4 Complexity 4 Journal of Vibration and Control 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 The ANZIAM Journal 4 Boundary Value Problems 4 European Journal of Pure and Applied Mathematics 4 International Journal of Biomathematics 4 Afrika Matematika 4 ISRN Computational Mathematics 4 Journal of Applied Mathematics, Statistics and Informatics 4 International Journal of Engineering Mathematics 3 Meccanica 3 Stochastic Analysis and Applications 3 Fractals 3 Chaos 3 Acta Mechanica Sinica 3 ISRN Applied Mathematics 3 Journal of Mathematics 3 Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Advances in Applied Mathematics and Mechanics 2 Modern Physics Letters A 2 International Journal of Heat and Mass Transfer 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Geometry and Physics 2 Demonstratio Mathematica 2 Numerische Mathematik 2 Quaestiones Mathematicae 2 Statistics & Probability Letters 2 Physica D 2 Computational Mechanics 2 Journal of Scientific Computing 2 Journal of Integral Equations and Applications 2 Signal Processing ...and 142 more Serials all top 5 Cited in 46 Fields 1,087 Numerical analysis (65-XX) 756 Partial differential equations (35-XX) 481 Ordinary differential equations (34-XX) 195 Fluid mechanics (76-XX) 187 Integral equations (45-XX) 125 Real functions (26-XX) 110 Biology and other natural sciences (92-XX) 90 Dynamical systems and ergodic theory (37-XX) 90 Probability theory and stochastic processes (60-XX) 83 Mechanics of deformable solids (74-XX) 62 Classical thermodynamics, heat transfer (80-XX) 52 Operator theory (47-XX) 39 Systems theory; control (93-XX) 33 Approximations and expansions (41-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Integral transforms, operational calculus (44-XX) 23 Mechanics of particles and systems (70-XX) 21 Computer science (68-XX) 19 Special functions (33-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Quantum theory (81-XX) 14 Geophysics (86-XX) 12 Information and communication theory, circuits (94-XX) 11 Operations research, mathematical programming (90-XX) 10 Optics, electromagnetic theory (78-XX) 8 Astronomy and astrophysics (85-XX) 7 Difference and functional equations (39-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Sequences, series, summability (40-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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