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The n-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed inhomogeneous conditions |
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| Authors: | Le Xuan Truong Nguyen Thanh Long |
| Affiliation: | a Faculty of Economics and Commerce, Hoa Sen University, 08 Nguyen Van Trang Str., Dist. 1, Ho Chi Minh City, Viet Nam b Nhatrang Educational College, 01 Nguyen Chanh Str., Nhatrang City, Viet Nam c Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Viet Nam |
| Abstract: | In this paper, a high-order iterative scheme is established in order to get a convergent sequence at a rate of order N(N?1) to a local unique weak solution of a nonlinear Kirchhoff-Carrier wave equation associated with mixed nonhomogeneous conditions - the boundary conditions are Dirichlet in one part and Robin in other part of boundary. On the other hand, some numerical results were presented. |
| Keywords: | Nonlinear Kirchhoff-Carrier wave equation Galerkin method The convergence of order N |
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