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A Modification on the Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph quations
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نویسنده
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haghighi ar. ,rahimian f. ,asghary n. ,roohi m.
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منبع
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international journal of industrial mathematics - 2023 - دوره : 15 - شماره : 2 - صفحه:151 -163
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چکیده
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In this paper the di erential quadrature method is implemented to nd numerical solution of two andthree-dimensional telegraphic equations with dirichlet and neumanns boundary values. this tech-nique is according to exponential cubic b-spline functions. so, a modication 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 di erential 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.
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کلیدواژه
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Telegraph equation (TE); Exponential modied cubic B-spline function; SSP-RK43; Dif-ferential quadrature method
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آدرس
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allameh tabatabai uni-versity, department of mathematics, Iran, urmia university of technology, department of mathematics, Iran, islamic azad university, central tehran branch, faculty of basic sciences, Iran, school of economics and statistics, department of mathematics, China
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Authors
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