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Adomian Decomposition Method And Several Nonlinear Equations

Posted on:2012-03-01Degree:MasterType:Thesis
Country:ChinaCandidate:S S LiFull Text:PDF
GTID:2210330338470837Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The Adomian decomposition methed was fonud by George.Adomian that is mathematical physicist in USA,and known as the inverse operater.It iseasy to calculate and convergence quickly.Therefore the adomian decomposition methed is widely used to solve linear and nonlinear differential equations.the principles of the mehonds are:firstly, thesolved nonlinear equations are divided into several parts; secondly, the solutions of the equations are resolved into infinite components; thirdly, the particular polynomials, which are equivalent to nonlinear parts of the equations,are created;and finally, components are gradually calculated from low order to high order.so it has being receiving much attention by more scholars In this paper,According to the characteristics of Adomian decomposition method and generalized the 2N+1 order Kdv equation, Schrodinger equation in the complex differential equations are solved using the adomian decomposition methonds. We realize the advantages of decomposition.
Keywords/Search Tags:Adomian decomposition method, Equation, convergence, Superiority
PDF Full Text Request
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