The Solution of Pseudo-hyperbolic Telegraph Partial Differential Equation by Modified Double Laplace Method

Year 2022, Volume: 12 Issue: 1, 43 - 50, 15.06.2022

Mahmut Modanlı , Fatma Şimşek

https://doi.org/10.31466/kfbd.929302

Cited By: 1

Abstract

In this study, the pseudo-hyperbolic telegraph partial differential equation depend on initial value conditions are investigated. For the exact solution of this equation, Modified double Laplace method is presented. This method is applied to the sample problem to obtain exact solution. The obtained this solution is showed by simulation. Thus, it was seen that the modified double Laplace method is convenient and suitable for the solution of this problem.

Keywords

Initial value problem, Exact solution, Modifiye double Laplace method, Pseudo-hyperbolic telegraph equation, Simulation

Pseudo-Hiperbolik Telegraf Kısmi Diferansiyel Denklemin Modifiye Çift Laplace Metodu ile Çözümü

Abstract

Bu araştırmada, başlangıç değer koşullarına bağlı pseudo-hiperbolik telegraf kısmi diferansiyel denklemi incelendi. Bu problemin tam çözümü için modifiye çift Laplace metodu verildi. Bu metot örnek problemlere uygulanarak tam çözüm elde edildi. Elde edilen bu çözüm simülasyonlarla gösterildi. Böylece modifiye çift Laplace metodunun bu problemin çözümü için elverişli ve uygun olduğu görüldü.

Keywords

Başlangıç değer problemi, tam çözüm, modifiye çift Laplace metodu, pseudo-hiperbolik telegraf denklemi, simülasyon.

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