Geodesic
On a high-order iteration technique for a wave equation with nonlinear viscoelastic term
Filomat, Tome 36 (2022) no. 17, p. 5765

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DOI

In this paper, a high-order iterative technique for solving a wave equation with strong damping and nonlinear viscoelastic term is constructed. For this purpose, we adapt the high-order iterative method used in the earlier works and establish the existence theorem of a recurrent sequence associated with the proposed problem. Thereafter, we prove a N-order convergence of the obtained sequence to a unique solution of the problem.
DOI : 10.2298/FIL2217765Q
Classification : 35L20, 35L70, 35L72
Keywords: Wave equation, Strong damping, Nonlinear viscoelastic term, High-order iterative scheme 
Doan Thi Nhu Quynh; Nguyen Huu Nhand; Le Thi Phuong Ngoc; Nguyen Thanh Long. On a high-order iteration technique for a wave equation with nonlinear viscoelastic term. Filomat, Tome 36 (2022) no. 17, p. 5765 . doi: 10.2298/FIL2217765Q
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     title = {On a high-order iteration technique for a wave equation with nonlinear viscoelastic term},
     journal = {Filomat},
     pages = {5765 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217765Q},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217765Q/}
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