Application of decomposition to convection-diffusion equations

DOI10.1016/0893-9659(88)90164-4zbMath0631.65119OpenAlexW2070227506MaRDI QIDQ1094845

G. Adomian

Publication date: 1988

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(88)90164-4

zbMATH Keywords

discretizationdecomposition methodlinearizationconvection-diffusion processes

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Applications to the sciences (65Z05)

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Performance and optimization analysis of a constructal T-shaped fin subject to variable thermal conductivity and convective heat transfer coefficient, On the Adomian (decomposition) method and comparisons with Picard's method, A review of the decomposition method in applied mathematics, A decomposition analysis on convecting-radiating rectangular plate fins for variable thermal conductivity and heat transfer coefficient, The decomposition method for Cauchy advection-diffusion problems, Decomposition methods for nonlinear, non-characteristic Cauchy heat problems

Cites Work

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• Transient behaviour of semilinear stochastic systems with random parameters
• On the mathematical modelling of physical systems by ordinary differential stochastic equations
• A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
• Solutions of nonlinear boundary value problems by the decomposition method
• Nonlinear equations with mixed derivatives
• Solution of the Navier-Stokes equation—I