JP Journal of Heat and Mass Transfer
Volume 17, Issue 1, Pages 265 - 275
(June 2019) http://dx.doi.org/10.17654/HM017010265 |
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DOUBLE LAPLACE TRANSFORM METHOD FOR SOLVING TELEGRAPH EQUATION
Muchammad Abrori, Sugiyanto and Hana Mei Satriana Sari
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Abstract: Telegraph equation is a partial differential equation which includes the one dimensional wave equation. This equation can be used to solve several problems that physically regulate voltage and current in the electricity transmission line in distance and time. In this study, telegraph equation and partial integrodifferential equation were analyzed and resolved by double Laplace transform. This equation was accompanied by initial values and boundary values solved by Laplace transform. Next, there are some examples of equations to discover a solution. The solution of these examples showed that double Laplace transform is one method that can be used to solve telegraph equation. Then the solutions are simulated in graphical form which shows the waveform of the equation. |
Keywords and phrases: telegraph equation, partial integrodifferential equation, double Laplace transform.
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