Convergence of Adomian's decomposition method: periodic temperatures.

DOI10.1016/S0898-1221(02)00127-XzbMath1125.65347MaRDI QIDQ1609158

Daniel Lesnic

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Heat equation (35K05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Other special methods applied to PDEs (35A25)

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Cites Work

• Unnamed Item
• Unnamed Item
• A new approach to the heat equation - an application of the decomposition method
• A further consideration of partial solutions in the decomposition method
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• The noisy convergence phenomena in decomposition method solutions
• A computational algebraic investigation of the decomposition method for time-dependent problems
• ASYMPTOTIC BEHAVIOUR IN DYNAMIC LINEAR THERMOELASTICITY: AN APPLICATION OF DIFFERENTIAL ITERATION
• QUASISTATIC CYCLES IN DYNAMIC LINEAR THERMOELASTICITY
• The numerical solution of sixth-order boundary value problems by the modified decomposition method