Adomian, G.; Rach, R. Noise terms in decomposition solution series. (English) Zbl 0777.35018 Comput. Math. Appl. 24, No. 11, 61-64 (1992). Summary: In applications solved by the decomposition method, the appearance of noise terms sometimes makes it necessary to compute more terms to observe the self-cancellations and separate solution terms from the terms whose sum vanishes in the limit. We investigate the phenomena further here. Cited in 84 Documents MSC: 35C10 Series solutions to PDEs 35L40 First-order hyperbolic systems Keywords:decomposition method; noise terms PDFBibTeX XMLCite \textit{G. Adomian} and \textit{R. Rach}, Comput. Math. Appl. 24, No. 11, 61--64 (1992; Zbl 0777.35018) Full Text: DOI References: [1] Adomian, G., Decomposition solution nonlinear hyperbolic equations, (Presented at the 7th Conf. on Math. Modelling. Presented at the 7th Conf. on Math. Modelling, Chicago (August, 1989)) · Zbl 0729.65072 [2] Adomian, G.; Rach, R., The noisy convergence phenomena, Comput. and Applied Math., 15, 3, 379-381 (1986) · Zbl 0616.65084 [3] Adomian, G.; Rach, R., Equality of partial solutions, Comp. and Math. with Applic., 19, 12, 9-12 (1990) · Zbl 0702.35058 [4] Adomian, G., A review of the decomposition method and some recent results of nonlinear equations, Comp. and Math. with Applic., 21, 5, 101-127 (1991) · Zbl 0732.35003 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.