Taylor series for the Adomian decomposition method

DOI10.1080/00207160.2011.611880zbMath1242.35088arXiv1104.1795OpenAlexW2110059924MaRDI QIDQ2885581

Ekaterina Kutafina

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1795

zbMATH Keywords

exact solutionsTaylor seriesAdomian decomposition methodcalculations of Taylor coefficients

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Related Items

Series solution of nonlinear differential equations by a novel extension of the Laplace transform method

Cites Work

• On product nonlinearities in stochastic differential equations
• A comparison between Adomian decomposition method and Taylor series method in the series solutions
• Solving frontier problems of physics: the decomposition method
• Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
• An analytic study of Fisher's equation by using Adomian decomposition method
• A new definition of the Adomian polynomials