On the development of Adomian decomposition method for solving PDE systems with non-prescribed data

DOI10.1007/s40314-022-01793-7zbMath1499.35166OpenAlexW4214933066WikidataQ114219300 ScholiaQ114219300MaRDI QIDQ2115078

Chi Kin Chau, Tzon-Tzer Lu, Dia Zeidan

Publication date: 15 March 2022

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

Full work available at URL: https://doi.org/10.1007/s40314-022-01793-7

zbMATH Keywords

closed-form solutionpower seriesAdomian decomposition methodsplitting techniquePDE systemnon-prescribed data

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for first-order hyperbolic systems (35L45) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Initial value problems for systems of linear first-order PDEs (35F40)

Related Items (3)

Adapting a new formula to generalize multidimensional transforms ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

Uses Software

• PDESpecialSolutions
• hypergeometricsols

Cites Work

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• Riemann Solvers and Numerical Methods for Fluid Dynamics
• On the characteristic Adomian decomposition method for the Riemann problem
• Mathematical studies of the solution of Burgers' equations by Adomian decomposition method

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