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Some generalized projection methods for solving operator equations

✍ Scribed by Ioannis K. Argyros

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
490 KB
Volume
39
Category
Article
ISSN
0377-0427

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We apply the method of operator splitting on the generalized Korteweg-de Vries (KdV) equation u t + f (u) x + Ξ΅u xxx = 0, by solving the nonlinear conservation law u t + f (u) x = 0 and the linear dispersive equation u t + Ξ΅u xxx = 0 sequentially. We prove that if the approximation obtained by opera