Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. (English) Zbl 0702.35058

We consider the solution of partial differential equations for initial/boundary conditions using the decomposition method. The partial solutions obtained from the separate equations for the highest-ordered linear operator terms are shown to be identical when the boundary conditions are general, and asymptotically equal when the boundary conditions in one independent variable are independent of other variables.
Reviewer: G.Adomian


35G30 Boundary value problems for nonlinear higher-order PDEs
Full Text: DOI


[1] Adomian, G., Stochastic Systems (1983), Academic Press: Academic Press New York · Zbl 0504.60067
[2] Adomian, G., Nonlinear Stochastic Operator Equations (1986), Academic Press: Academic Press New York · Zbl 0614.35013
[3] Adomian, G., Nonlinear Stochastic Systems Theory and Applications to Physics (1988), Kluwer: Kluwer London · Zbl 0666.60061
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