In this research, a linear combination of moving least square (MLS) and local radial basis functions (LRBFs) is considered within the framework of the meshless method to solve the two-dimensional hyperbolic telegraph equation. Besides, the differential quadrature method (DQM) is employed to discretize temporal derivatives. Furthermore, a control parameter is introduced and optimized to achieve minimum errors via an experimental approach. Illustrative examples are provided to demonstrate the applicability and efficiency of the method. The results prove the superiority of this method over using MLS and LRBF individually.
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Niknam, S., & Adibi, H. (2022). A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions. Computational Methods for Differential Equations, 10(4), 969-985. doi: 10.22034/cmde.2021.42440.1829
MLA
Sepideh Niknam; Hojatollah Adibi. "A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions". Computational Methods for Differential Equations, 10, 4, 2022, 969-985. doi: 10.22034/cmde.2021.42440.1829
HARVARD
Niknam, S., Adibi, H. (2022). 'A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions', Computational Methods for Differential Equations, 10(4), pp. 969-985. doi: 10.22034/cmde.2021.42440.1829
VANCOUVER
Niknam, S., Adibi, H. A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions. Computational Methods for Differential Equations, 2022; 10(4): 969-985. doi: 10.22034/cmde.2021.42440.1829