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I Wayan Sudiarta
(SCOPUS ID: 6506635547), Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Mataram, Indonesia
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Journal : Journal of Physics: Theories and Applications

 1 
Non-standard and Numerov finite difference schemes for finite difference time domain method to solve one-dimensional Schrödinger equation Lily Maysari Angraini; I Wayan Sudiarta
Journal of Physics: Theories and Applications Vol 2, No 1 (2018): Journal of Physics: Theories and Applications
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1004.088 KB) | DOI: 10.20961/jphystheor-appl.v2i1.26352

Abstract

The purpose of  this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation. Starting with results of the unmodified FDTD method, Numerov-FD and NSFD are applied iteratively to produce more accurate results for eigen energies and wavefunctios. Three potential wells, infinite square well, harmonic oscillator and Poschl-Teller, are used to compare results of FDTD calculations. Significant improvements in the results for the infinite square potential and the harmonic oscillator potential are found using Numerov-NSFD scheme, and for Poschl-Teller potential are found using Numerov scheme.
Co-Authors Alaa, Siti Alvin Naufal Indisa Arif Budianto Arin Nafiana Dani Syirojulmunir Dian Wijaya Kurniawidi Eva Nurhaliza Handayana, I Gusti Ngurah Yudi Hiden Hiden I Putu Gede Wirarama Wedashwara I Wayan Agus Arimbawa I. G. P. Wedashwara Wedarama Iyan Islamiyati Lalu Sahrul Hudha Made Sutha Yadnya Marzuki Marzuki Muhammad Fajrin Nanik Andelita Nurul Qomariyah Ramadian Ridho Illahi Rohma Yuliani Siti Alaa' subhan subhan Suhayat Minardi Susi Rahayu syahrul jamili Syamsuddin Syamsuddin Tatang Mulyana Teguh Ardianto, Teguh Wirarama Wedashwara Wirawan, Rahadi Yulia Satriadi