Numerical Method for 2D Quasi-linear Hyperbolic Equation on an Irrational Domain: Application to Telegraphic Equation

We develop a novel three-level compact method (implicit) of second order in time and space directions using unequal grid for the numerical solution of 2D quasi-linear hyperbolic partial differential equations on an irrational domain. The stability analysis of the model problem for unequal mesh is discussed and it is revealed that the developed scheme is unconditionally stable for the Telegraphic equation. For linear difference equations on an irrational domain, the alternating direction implicit method is discussed. The projected technique is scrutinized on several physical problems on an irrational domain to exhibitthe accuracy and effectiveness of the suggested method. Dhaka Univ. J. Sci. 69(2): 116-123, 2021 (July)

PENERAPAN HUKUM KIRCHOFF PADA RANGKAIAN EKUIVALEN UNTUK MEMPEROLEH PERSAMAAN TELEGRAF

Telegraph is a machine for sending and receiving messages remotely. Telegraph according to Zauderer can be modeled or expressed in mathematical language, namely the telegraph equation. Kirchoff I's Law deals with currents and Kirchoff II's Law is the basis for analyzing all electrical circuits. The purpose of this research is to apply Kirchoff's Law to obtain the telegraphic equation. The stages in research include: determining the equivalent circuits, making assumptions, applying Kirchoff's Laws I and II to the equivalent circuits, and forming telegraphic equations. The results of this study are to obtain a telegraphic equation which is a partial differential equation with general forms