THE ANALITICAL SOLUTIONS OF THE LINEAR TWO CHANNELS DISSIPATION MODEL



Sumardi Sumardi(1*), Soeparna Darmawijaya(2), Lina Aryati(3)

(1) 
(2) 
(3) 
(*) Corresponding Author

Abstract


The analytical solutions of the linear two channels dissipation model are presented in various forms. First we analyze the particular solutions of this model. Then the model is transformed into the Telegrapher Equation and further into the Klein Gordon Equation for which various families of solutions are known. The Fourier Transform is applied on the Telegrapher Equation, yielding solutions in Fourier representation. Finally we apply the method of
characteristics to find solutions of the initial value problem.

Keywords : hyperbolic system, partial differential equation, exact solution


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ISSN 0215-9309 (Print)

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