International Journal of Nonlinear Analysis and Applications

Application of reproducing kernel Hilbert space method for generalized 1-D linear telegraph equation

Document Type : Research Paper

Authors

Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149-16818, Iran

Abstract

This paper presents the generalized 1-D linear telegraph equation. We have solved this equation by the Reproducing Kernel Hilbert Space (RKHS) method and compared it with other methods like fourth-order compact difference and alternating direction implicit schemes and meshless local radial point interpolation (MLRPI). Comparing the results of these three methods as well as comparing the exact solution, indicating the efficiency and validity of RKHS. The uniformly converges of the computed solution to the analytical solution are proved. Note that the procedure is easy to implement, and it no needs discretization, and is mesh-free too.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 485-497
  • Receive Date: 08 June 2020
  • Revise Date: 30 May 2021
  • Accept Date: 12 June 2021