Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions
The generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function F(t,x,U) satisfies the following condition: ∂n-1F(t,x,U)/∂Un-1 exists and is quasimonotone nondecreasing or nonincreasing. We...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1982568 |
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| _version_ | 1832554397129768960 |
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| author | Peiguang Wang Xiang Liu |
| author_facet | Peiguang Wang Xiang Liu |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | The generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function F(t,x,U) satisfies the following condition: ∂n-1F(t,x,U)/∂Un-1 exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order n-1 which will be different with n being even or odd. Finally, we develop two sequences which converge to the solution of the telegraph system and the convergence is of order n. |
| format | Article |
| id | doaj-art-ed01fc21184640c8b6bef2eb49b80a85 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ed01fc21184640c8b6bef2eb49b80a852025-02-03T05:51:39ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/19825681982568Rapid Convergence for Telegraph Systems with Periodic Boundary ConditionsPeiguang Wang0Xiang Liu1College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaThe generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function F(t,x,U) satisfies the following condition: ∂n-1F(t,x,U)/∂Un-1 exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order n-1 which will be different with n being even or odd. Finally, we develop two sequences which converge to the solution of the telegraph system and the convergence is of order n.http://dx.doi.org/10.1155/2017/1982568 |
| spellingShingle | Peiguang Wang Xiang Liu Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions Journal of Function Spaces |
| title | Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions |
| title_full | Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions |
| title_fullStr | Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions |
| title_full_unstemmed | Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions |
| title_short | Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions |
| title_sort | rapid convergence for telegraph systems with periodic boundary conditions |
| url | http://dx.doi.org/10.1155/2017/1982568 |
| work_keys_str_mv | AT peiguangwang rapidconvergencefortelegraphsystemswithperiodicboundaryconditions AT xiangliu rapidconvergencefortelegraphsystemswithperiodicboundaryconditions |