GENERALIZATION OF ADOMIAN POLYNOMIALS TO FUNCTIONS OF SEVERAL VARIABLES

被引：47

作者：

ADOMIAN, G

RACH, R

机构：

[1] Athens, GA 30605

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1992年 / 24卷 / 5-6期

关键词：

D O I：

10.1016/0898-1221(92)90037-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The solution of nonlinear differential and partial differential equations by the decomposition method due to Adomian [1-3] requires his A(n) polynomials to represent nonlinearities. A convenient algorithm [1-3] for generation of the A(n) for an analytic function f(u) is generalized to the case of an analytic function of several variables f(u, v, . . . ) where f is not factorable into f1(u)f2(v)....

引用

页码：11 / 24

页数：14

共 5 条

[1]

EQUALITY OF PARTIAL SOLUTIONS IN THE DECOMPOSITION METHOD FOR LINEAR OR NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].