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Noise terms in decomposition solution series. (English) Zbl 0777.35018
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.

35C10Series solutions of PDE
35L40First order hyperbolic systems, general
Full Text: DOI
[1] Adomian, G.: Decomposition solution nonlinear hyperbolic equations. Presented at the 7th conf. On math. Modelling (August, 1989)
[2] Adomian, G.; Rach, R.: The noisy convergence phenomena. Comput. and applied math. 15, No. 3, 379-381 (1986) · Zbl 0616.65084
[3] Adomian, G.; Rach, R.: Equality of partial solutions. Comp. and math. With applic. 19, No. 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, No. 5, 101-127 (1991) · Zbl 0732.35003