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.