RBF-FD Method for Some Dispersive Wave Equations and Their Eventual Periodicity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915446638247936 |
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| author | Uddin, Marjan Jan, Hameed Ullah Usman, Muhammad |
| author_facet | Uddin, Marjan Jan, Hameed Ullah Usman, Muhammad |
| contents | In this paper, we approximate the solution and also discuss the periodic behavior termed as eventual periodicity of solutions of (IBVPs) for some dispersive wave equations on a bounded domain corresponding to periodic forcing. The constructed numerical scheme is based on radial kernels and local in nature like finite difference method. The temporal variable is executed through RK4 scheme. Due to the local nature and sparse differentiation matrices our numerical scheme efficiently recovers the solution. The results achieved are validated and examined with other methods accessible in the literature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_10558 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | RBF-FD Method for Some Dispersive Wave Equations and Their Eventual Periodicity Uddin, Marjan Jan, Hameed Ullah Usman, Muhammad Numerical Analysis 33F05, 34K10, 34K13, 34K28, 35Q51, 35Q53 In this paper, we approximate the solution and also discuss the periodic behavior termed as eventual periodicity of solutions of (IBVPs) for some dispersive wave equations on a bounded domain corresponding to periodic forcing. The constructed numerical scheme is based on radial kernels and local in nature like finite difference method. The temporal variable is executed through RK4 scheme. Due to the local nature and sparse differentiation matrices our numerical scheme efficiently recovers the solution. The results achieved are validated and examined with other methods accessible in the literature. |
| title | RBF-FD Method for Some Dispersive Wave Equations and Their Eventual Periodicity |
| topic | Numerical Analysis 33F05, 34K10, 34K13, 34K28, 35Q51, 35Q53 |
| url | https://arxiv.org/abs/2508.10558 |