An efficient algorithm for the multivariable Adomian polynomials

In this article the sum of the series of multivariable Adomian polynomials is demonstrated to be identical to a rearrangement of the multivariable Taylor expansion of an analytic function of the decomposition series of solutions u 1, u 2, … , u m about the initial solution components u 1,0, u 2,0, …...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Applied mathematics and computation Ročník 217; číslo 6; s. 2456 - 2467
Hlavní autor:	Duan, Jun-Sheng
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Inc 15.11.2010 Elsevier
Témata:	Acceleration of convergence Adomian decomposition method Adomian polynomials Algorithms Derivatives Difference and functional equations, recurrence relations Differential equation Differential equations Exact sciences and technology Functions of a complex variable Mathematical analysis Mathematical models Mathematics Matrices Matrix methods Multivariable Multivariable function Nonlinear operator Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Multivariable function Adomian polynomials Adomian decomposition method Nonlinear operator Differential equation Polynomial Transcendental equation Convergence acceleration Recurrence relation Decomposition method Difference equation Parameterization Algorithm Non linear operator Non linear equation Series summation Numerical analysis Applied mathematics Analytical function
ISSN:	0096-3003, 1873-5649
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Buďte první, kdo okomentuje tento záznam!