Adomian, G.; Rach, R. Modified decomposition solution of linear and nonlinear boundary-value problems. (English) Zbl 0810.34015 Nonlinear Anal., Theory Methods Appl. 23, No. 5, 615-619 (1994). Referring to results already obtained by the authors in several previous papers, the modified decomposition solution of linear and nonlinear boundary value problems is further generalized to treat initial value problems with an acceleration of convergence. Reviewer: V.C.Boffi (Roma) Cited in 1 ReviewCited in 43 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34B05 Linear boundary value problems for ordinary differential equations 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. Keywords:modified decomposition solution; linear and nonlinear boundary value problems; acceleration of convergence PDFBibTeX XMLCite \textit{G. Adomian} and \textit{R. Rach}, Nonlinear Anal., Theory Methods Appl. 23, No. 5, 615--619 (1994; Zbl 0810.34015) Full Text: DOI References: [1] Adomian, G.; Rach, R., A modified decomposition, Comp. Math. Applic., 23, 1, 17-23 (1992) · Zbl 0756.35013 [2] AdomianRachAdv. partial diff. Eqns; AdomianRachAdv. partial diff. Eqns [3] Adomian, G., A review of the decomposition method and some recent results for nonlinear equations, Comp. Math. Applic., 21, 5, 101-127 (1991) · Zbl 0732.35003 [4] Adomian, G.; Rach, R., Analytic solution of nonlinear boundary value problems in several dimensions by decomposition, J. math. Analysis Applic., 173, 1, 118-137 (1993) · Zbl 0796.35017 [5] Cherrault, Y., Convergence of Adomian’s method, Kybernetes, 18, 2, 31-38 (1989) [6] Cherrault, Y.; Saccomandi, G., Some new results for convergence of Adomian’s method applied to integral equations, Math. Comp. Modelling, 16, 2, 85-93 (1992) · Zbl 0756.65083 [7] AdomianRachAppl. Math. Letts; AdomianRachAppl. Math. Letts [8] Adomian, G.; Rach, R., Transformation of series, Appl. Math. Letts, 4, 4, 69-71 (1991) · Zbl 0742.40004 [9] Adomian, G., Stochastic Systems (1983), Academic Press: Academic Press New York · Zbl 0504.60067 [10] Adomian, G., Nonlinear Stochastic Operator Equations (1986), Academic Press: Academic Press New York · Zbl 0614.35013 [11] Adomian, G., Nonlinear Stochastic Systems Theory and Applications to Physics (1989), Kluwer: Kluwer Dordrecht · Zbl 0659.93003 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.