Analytic solutions for nonlinear equations

DOI10.1016/0096-3003(88)90087-2zbMath0666.34007OpenAlexW2018552812MaRDI QIDQ1117076

G. Adomian

Publication date: 1988

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(88)90087-2

zbMATH Keywords

Taylor series expansionsphysical problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (3)

Decomposition methods for nonlinear, non-characteristic Cauchy heat problems ⋮ Development of a model for the process of anaerobic digestion and its solution by the modified Adomian decomposition method ⋮ A new algorithm for solution of the harmonic oscillator by decomposition

Cites Work

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• On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems
• On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour
• A convenient computational form for the Adomian polynomials
• Semilinear stochastic systems: Analysis with the method of the stochastic Green's function and application in mechanics
• A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
• Coupled differential equations and coupled boundary conditions
• On linear and nonlinear integro-differential equations
• On a class of nonlinear dynamical systems: the structure of a differential operator in the application of the decomposition method
• On continuous approximate solutions of nonlinear differential equations
• An application of the Adomian decomposition method to the transient behavior of a model biochemical reaction
• On the Adomian (decomposition) method and comparisons with Picard's method
• Application of the decomposition method to the Navier-Stokes equations
• A new approach to boundary value equations and application to a generalization of Airy's equation
• On a class of semilinear stochastic systems in mechanics with quadratic- type nonlinearities: Time evolution of the probability density
• Nonlinear equations with mixed derivatives

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