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A decomposition method for a semilinear boundary value problemwith a quadratic nonlinearity
Author(s) -
Michael Gordon
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.855
Subject(s) - mathematics , adomian decomposition method , quadratic equation , convergence (economics) , nonlinear system , boundary value problem , mathematical analysis , decomposition , series (stratigraphy) , decomposition method (queueing theory) , boundary (topology) , partial differential equation , geometry , discrete mathematics , ecology , physics , quantum mechanics , economics , biology , economic growth , paleontology
The author adapts the decomposition method of Adomian to find aseries solution of a one-dimensional boundary value problem for asemilinear heat equation with a quadratic nonlinearity. Local andglobal convergence results are obtained

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