Analytic solutions for nonlinear equations
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Publication:1117076
DOI10.1016/0096-3003(88)90087-2zbMath0666.34007OpenAlexW2018552812MaRDI QIDQ1117076
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
Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)
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Cites Work
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- 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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