Open AccessThe decomposition method for linear, one‐dimensional,time‐dependent partial differential equations
Author(s) -
D. Lesnic
Publication year - 2006
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/2006/42389
Subject(s) - adomian decomposition method , mathematics , partial differential equation , decomposition , power series , mathematical analysis , convergent series , differential equation , decomposition method (queueing theory) , linear differential equation , boundary value problem , series (stratigraphy) , first order partial differential equation , parabolic partial differential equation , boundary (topology) , discrete mathematics , paleontology , ecology , biology
The analytical solutions for linear, one-dimensional,time-dependent partial differential equations subjectto initial or lateral boundary conditions are reviewed andobtained in the form of convergent Adomian decomposition powerseries with easily computable components. The efficiency and powerof the technique are shown for wide classes of equations ofmathematical physics
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