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.


35C10 Series solutions to PDEs
35L40 First-order hyperbolic systems
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[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
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