Explicit solutions for differential equations

DOI10.1016/0096-3003(87)90055-5zbMath0635.34003OpenAlexW2085358937MaRDI QIDQ1097383

G. Adomian, Randolph C. Rach

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0096-3003(87)90055-5

zbMATH Keywords

decomposition methodexamplesAdomian's decomposition

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (1)

Modified variational iteration method (non-homogeneous initial value problem)

Cites Work

• Convergent series solution of nonlinear equations
• On the solution of algebraic equations by the decomposition method
• A convenient computational form for the Adomian polynomials
• An investigation of the asymptotic decomposition method for nonlinear equations in physics
• Nonlinear stochastic differential equations
• Nonlinear equations with mixed derivatives
• The noisy convergence phenomena in decomposition method solutions
• Inversion of nonlinear stochastic operators
• ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD
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