PERBANDINGAN SOLUSI NUMERIK INTEGRAL LIPAT DUA PADA FUNGSI ALJABAR DENGAN METODE ROMBERG DAN SIMULASI MONTE CARLO

Authors

  • Ermawati E Program Studi Matematika Universitas Islam Negeri Alauddin Makassar
  • Puji Rahayu Program Studi Matematika-Universitas Islam Negeri Alauddin
  • Faihatuz Zuhairoh STKIP YPUP Makassar

DOI:

https://doi.org/10.24252/msa.v5i1.4479

Abstract

Integrasi numerik merupakan metode yang dapat digunakan untuk menyelesaikan persoalan integral yang sulit diselesaikan secara analitis. Artikel ini membahas tentang perbandingan tingkat keakuratan antara metode Romberg dan Simulasi Monte Carlo pada penyelesaian integral lipat dua untuk fungsi aljabar baik fungsi aljabar rasional maupun irrasional. Tingkat keakuratan dapat di ketahuin dari perbandingan galat antara kedua metode tersebut. Berdasarkan hasil simulasi pada beberapa fungsi aljabar baik rasional maupun irrasional menunjukkan bahwa nilai galat metode Romberg lebih kecil dibandingkan metode Simulasi Monte Carlo, meskipun jumlah iterasi untuk metode Simulasi Monte Carlo jauh lebih besar dibandingkan dengan metode Romberg. Sehingga dapat disimpulkan bahwa metode Romberg lebih akurat dibandingan dengan metode Simulasi Monte Carlo, pada penyelesaian integral lipat dua dengan fungsi aljabar baik yang rasional maupun irrasional.

Author Biography

Ermawati E, Program Studi Matematika Universitas Islam Negeri Alauddin Makassar

Program Studi Matematik Universitas Islam Negeri Alauddin Makassar

References

Ammar, Muhammad. Solusi Penyelesaian Integral Lipat Dua dengan Menggunakan Metode Romber. Makassar: UIN Alauddin. 2009.
Ardi, Pujiyanta. Komputasi Numerik dengan Matlab. Yogyakarta: Graha Ilmu. 2007
Arhami, Muhammad dkk. Pemrograman MATLAB. Yogyakarta: ANDI, 2012.
Away, Gunaidi Abdia. the Shorcut of Matlab Programming. Bandung: Informatika Bandung, 2006.
Elhasany, Zain. Contoh Daftar Pustaka Makalah Dan Skripsi, Artikel Ilmiah Lengkap, diakses dari http://www.scribd.com/doc/92181730/METODE-NUMERIK#scribd, pada tanggal 11 Oktober 2015 pukul 21.11
Haryono, Nugroho agus. Perhitungan Integral Lipat Menggunakan Metode Monte Carlo. Jurnal Informatika vol. 5 no. 2. Yogyakarta: Universitas Kristen Duta Wacana. 2009.
Hernadi, Julan. Matematika Numerik Dengan Implementasi MATLAB. Yogyakarta: ANDI. 2012.
Ilham, Muhammad. Modul 3 Integrasi Numerik. Bandung: Institut Teknologi Bandung. 2014.
Kosasih, Buyung. Komputasi Numerik Teori dan Aplikasinya.Yogyakarta: ANDI. 2006.
Munir, Rinaldi. Metode Numerik Revisi Kedua. Bandung: Informatika Bandung. 2008.
Munir, Rinaldi. Metode Numerik sebagai Algoritma Komputasi.https://dirgamath29. files.wordpress.com.pdf (12 Mei 2015)
Sahid, Pengantar Komputasi Numerik dengan MATLAB. Yogyakarta: ANDI. 2005.
Sangadji, Metode Numerik. Yogyakarta: Graha Ilmu. 2008.
Setiawan, Agus. Pengantar Metode Numerik. Yogyakarta: ANDI. 2006.
Supangat, Andi. Matematika untuk Ekonomi dan Bisnis. Jakarta: Prenada Media Grup. 2006.
Jurnal MSA Vol. 5 No. 1 2017

Downloads

Published

2019-07-19

How to Cite

[1]
E. E, P. Rahayu, and F. Zuhairoh, “PERBANDINGAN SOLUSI NUMERIK INTEGRAL LIPAT DUA PADA FUNGSI ALJABAR DENGAN METODE ROMBERG DAN SIMULASI MONTE CARLO”, MSA, vol. 5, no. 1, p. 46, Jul. 2019.

Issue

Vol. 5 No. 1 (2017)

Section

Artikel

License

Copyright Notice

Jurnal MSA (Matematika dan Statistika serta Aplikasinya)

Authors who publish in Jurnal MSA agree to the following copyright and licensing terms.

1. Copyright Ownership

Authors retain copyright in their scholarly articles unless copyright is lawfully held by another authorized rights holder.

Publication in Jurnal MSA does not require an exclusive transfer or assignment of copyright ownership to the journal or its publisher.

2. Non-Exclusive Publishing Rights

Authors or authorized copyright holders grant Jurnal MSA non-exclusive rights of first journal publication, dissemination, indexing, and digital preservation.

These rights allow the journal to publish, reproduce, distribute, archive, and preserve the accepted scholarly article without transferring copyright ownership.

3. Publication License

Jurnal MSA adopts and applies the Creative Commons Attribution 4.0 International License (CC BY 4.0) as the standard license for scholarly articles published under its current publication terms.

Authors or authorized rights holders authorize publication of their articles under CC BY 4.0.

This license permits sharing, reproduction, redistribution, adaptation, and reuse, including commercial reuse, subject to the license terms and attribution requirements.

Official License:

https://creativecommons.org/licenses/by/4.0/

4. Non-Commercial Publishing Model

Jurnal MSA operates as a non-commercial scholarly publisher dedicated to education, scientific research, and scholarly communication.

The journal's non-commercial status does not restrict commercial reuse of articles licensed under CC BY 4.0.

5. Authors' Rights and Self-Archiving

Authors retain their applicable rights to reuse, share, and disseminate their scholarly works.

Authors may immediately deposit and distribute the published version of their CC BY 4.0-licensed articles through institutional repositories, disciplinary repositories, and academic websites without an embargo imposed by the journal.

Such distribution remains subject to the applicable license and third-party rights.

6. Author Consent and Third-Party Rights

By agreeing to publication, the corresponding author confirms that:

  1. All listed authors have approved the manuscript and the publication arrangements.

  2. The authors or authorized rights holders possess the legal authority necessary to authorize publication and licensing.

  3. Jurnal MSA is granted the necessary non-exclusive publishing rights.

  4. Publication of the article under CC BY 4.0 is authorized.

  5. Required permissions for third-party materials have been obtained, and any licensing exclusions have been clearly identified.

7. Previously Published Articles

Articles published before the implementation of the current licensing policy remain governed by their validly applicable copyright and licensing arrangements.

The adoption of CC BY 4.0 does not automatically change licenses previously granted under different terms.

Copyright and License Statement

Copyright © [Year], The Author(s).

The author(s) retain copyright and grant Jurnal MSA non-exclusive rights of first publication, dissemination, indexing, and preservation.

This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

https://creativecommons.org/licenses/by/4.0/