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All Journal MAJAMATH: Jurnal Matematika dan Pendidikan Matematika
Rimanada, Viva
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Education Mathematics

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PENYELESAIAN NUMERIK MASALAH SYARAT BATAS ROBIN PADA PERSAMAAN DIFERENSIAL CAUCHY-EULER Habibah, Ummu; Tuloli, Mohamad Handri; Rimanada, Viva; Ferreira, Tomas Goncalves
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol 3 No 1 (2020): Vol. 3 No. 1 Maret 2020
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (784.337 KB) | DOI: 10.36815/majamath.v3i1.615

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.
Co-Authors Ferreira, Tomas Goncalves Tuloli, Mohamad Handri Ummu Habibah