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Volume 10, Issue 3
The Method of Particular Solutions (MPS) for Solving One-Dimensional Hyperbolic Telegraph Equation

LingDe Su , ZiWu Jiang and TongSong Jiang

J. Info. Comput. Sci. , 10 (2015), pp. 199-208.

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  • Abstract
In this paper, the method of particular solution (MPS) is employed for the numerical solution of the one-dimensional (1D) telegraph equation based on radical basis functions (RBFs). Coupled with the time discretization and MPS, the proposed method is a truly meshless method which requires neither domain or boundary discretization. The algorithm is very simple so it is very easy to implement. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme, the obtained numerical results also have been compared with the results obtained by some existing methods to verify the accurate nature of our method.
  • Keywords

method of particular solution (MPS), radical basis function (RBF), numerical solution, hyperbolic telegraph equation.

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COPYRIGHT: © Global Science Press

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@Article{JICS-10-199, author = {LingDe Su , ZiWu Jiang and TongSong Jiang}, title = {The Method of Particular Solutions (MPS) for Solving One-Dimensional Hyperbolic Telegraph Equation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {3}, pages = {199--208}, abstract = {In this paper, the method of particular solution (MPS) is employed for the numerical solution of the one-dimensional (1D) telegraph equation based on radical basis functions (RBFs). Coupled with the time discretization and MPS, the proposed method is a truly meshless method which requires neither domain or boundary discretization. The algorithm is very simple so it is very easy to implement. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme, the obtained numerical results also have been compared with the results obtained by some existing methods to verify the accurate nature of our method. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22545.html} }
TY - JOUR T1 - The Method of Particular Solutions (MPS) for Solving One-Dimensional Hyperbolic Telegraph Equation AU - LingDe Su , ZiWu Jiang and TongSong Jiang JO - Journal of Information and Computing Science VL - 3 SP - 199 EP - 208 PY - 2024 DA - 2024/01 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22545.html KW - method of particular solution (MPS), radical basis function (RBF), numerical solution, hyperbolic telegraph equation. AB - In this paper, the method of particular solution (MPS) is employed for the numerical solution of the one-dimensional (1D) telegraph equation based on radical basis functions (RBFs). Coupled with the time discretization and MPS, the proposed method is a truly meshless method which requires neither domain or boundary discretization. The algorithm is very simple so it is very easy to implement. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme, the obtained numerical results also have been compared with the results obtained by some existing methods to verify the accurate nature of our method.
LingDe Su , ZiWu Jiang and TongSong Jiang. (2024). The Method of Particular Solutions (MPS) for Solving One-Dimensional Hyperbolic Telegraph Equation. Journal of Information and Computing Science. 10 (3). 199-208. doi:
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