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Haghighi, AR., Rahimiyan, F., Asghary, N., Roohi, M.. (1402). A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations. , 15(2), 151-163. doi: 10.30495/ijim.2023.66141.1585
AR. Haghighi; F. Rahimiyan; N. Asghary; M. Roohi. "A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations". , 15, 2, 1402, 151-163. doi: 10.30495/ijim.2023.66141.1585
Haghighi, AR., Rahimiyan, F., Asghary, N., Roohi, M.. (1402). 'A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations', , 15(2), pp. 151-163. doi: 10.30495/ijim.2023.66141.1585
Haghighi, AR., Rahimiyan, F., Asghary, N., Roohi, M.. A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations. , 1402; 15(2): 151-163. doi: 10.30495/ijim.2023.66141.1585

A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations

International Journal of Industrial Mathematics
دوره 15، شماره 2، مهر 2023، صفحه 151-163  XML اصل مقاله (707.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.30495/ijim.2023.66141.1585
نویسندگان
AR. Haghighi email orcid 1؛ F. Rahimiyan2؛ N. Asghary3؛ M. Roohi4
1Department of Mathematics, Allameh Tabatabai University, Tehran, ‎Iran.
2Department of Mathematics, Urmia University of Technology, Urmia, Iran.
3Department of Mathematics Islamic Azad University, Central Tehran Branch,Tehran, Iran.
4Department of Mathematics, School of Economics and Statistics, Guangzhou, China.
چکیده
In this paper the differential quadrature method is implemented to find numerical solution of two and three-dimensional telegraphic equations with Dirichlet and Neumann's boundary values. This technique is according to exponential cubic B-spline functions. So, a modification on the exponential cubic B- spline is applied in order to use as a basis function in the DQ method. Therefore, the Telegraph equation (TE) is altered to a system of ordinary differential equations (ODEs). The optimized form of Runge-Kutta scheme has been implemented by four-stage and three-order strong stability preserving (SSPRK43) to solve the resulting system of ODEs. We examined the correctness and applicability of this method by four examples of the TE.
کلیدواژه‌ها
Telegraph equation (TE)؛ Exponential modified؛ Cubic B-spline function؛ SSP-RK43؛ Differential. quadrature method
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تعداد مشاهده مقاله: 27
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