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

	Application of reproducing kernel Hilbert space method for generalized 1-D linear telegraph equation
International Journal of Nonlinear Analysis and Applications
مقاله 44، دوره 13، شماره 2، مهر 2022، صفحه 485-497 اصل مقاله (523.26 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.20573.2173
نویسندگان
S Abbasbandy^* ؛ H.R. Khodabandehlo
Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149-16818, Iran
چکیده
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.
کلیدواژه‌ها
Reproducing Kernel Hilbert Space (RKHS)؛ Telegraph equations؛ Gram-Schmidt orthogonalization process؛ Differential equation
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