Adomian, G.; Rach, R. Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. (English) Zbl 0702.35058 Comput. Math. Appl. 19, No. 12, 9-12 (1990). 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 Cited in 3 ReviewsCited in 51 Documents MSC: 35G30 Boundary value problems for nonlinear higher-order PDEs Keywords:decomposition method PDF BibTeX XML Cite \textit{G. Adomian} and \textit{R. Rach}, Comput. Math. Appl. 19, No. 12, 9--12 (1990; Zbl 0702.35058) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.