Penyelesaian Numerik Masalah Syarat Batas Robin pada Persamaan Diferensial Cauchy-Euler

Authors

• Ummu Habibah Universitas Brawijaya
• Mohamad Handri Tuloli Universitas Brawijaya
• Tomas Goncalves Ferreira Universitas Brawijaya

Keywords:

Cauchy-Euler, Finite-difference method, Robin's boundary condition, Shooting method

Abstract

This research studied how the numerical solution of the Cauchy-Euler differential equation with Robin boundary conditions. There were several numerical methods that can be used to get the numerical solution of a boundary value problem, namely the finite-difference method, the shooting method, the collocation method, and others. In this study, the numerical solution of Robin's boundary condition problem was obtained by the center finite-difference and the shooting methods. From the two methods, the numerical error was compared to the exact solution. The simulation results shown that the shooting method produces a better numerical solution for approximating the completion of the Cauchy-Euler differential equation than the finite-difference method since it produced smaller numerical errors.

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