On the solution of algebraic equations by the decomposition method

摘要: Abstract The decomposition method ( G. Adomian, “Stochastic Systems,” Academic Press, New York, 1983 ) developed to solve nonlinear stochastic differential equations has recently been generalized (and/or) partial equations, systems of and delay applied diverse applications. As pointed out previously (see reference above) the methodology is an operator which can be used for nondifferential operators as well. Extension also made algebraic involving real or complex coefficients. This paper deals specifically with quadratic, cubic, general higher-order polynomial negative, nonintegral powers, random equations. Further work on this subject appears elsewhere (G. Systems II,” in press).