Analytical approximants of time-dependent partial differential equations with tau methods

DOI10.1016/S0378-4754(02)00133-7zbMath1013.65112OpenAlexW2012306275MaRDI QIDQ1861524

Antonio García-Olivares

Publication date: 9 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00133-7

zbMATH Keywords

nonlinear parabolic equationanalytical solutionsymbolic computationAdomian's decomposition methodspectral methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

A decomposition method for nonlinear bending of anisotropic thin plates ⋮ A new iteration method based on Green's functions for the solution of pdes ⋮ Analytical solution of nonlinear partial differential equations of physics

Cites Work

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• Solutions of nonlinear P. D. E
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• New ideas for proving convergence of decomposition methods
• Practical formulae for the calculus of multivariable Adomian polynomials
• Convergence of Adomian's Method
• New results of convergence of Adomian’s method
• The decomposition method applied to the Cauchy problem
• Analytic solution of partial differential equations with Adomian's decomposition
• Stochastic systems

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