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All Journal JPPM (JURNAL PENELITIAN DAN PEMBELAJARAN MATEMATIKA) JURNAL TARBIYAH Jurnal Cendekia : Jurnal Pendidikan Matematika J-PiMat : Jurnal Pendidikan Matematika Jurnal Eurekamatika JMT (Jurnal Matematika dan Terapan)
Eti Dwi Wiraningsih
Universitas Negeri Jakarta
Religion Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Social Sciences

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Solusi Semi Analitik Persamaan Burgers Menggunakan Metode Dekomposisi Adomian Laplace Brinda Sari; Lukita Ambarwati; Eti Dwi Wiraningsih
JMT : Jurnal Matematika dan Terapan Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.2.2

Abstract

Burgers equation is a partial differential equation which has important rule in fluid mechanics. Because it has nonlinear terms, the exact solution is complicated to find. Therefore many methods have been developed to find the approximate solution that can estimate the exact solution. In this research, the Laplace Adomian decomposition method is applied to calculate the approximate solution of Burgers equation. The method is a semi-analytical method to resolve nonlinear differential equation. By the numerical simulation, we obtained a result that the approximate solution by this method can estimate the exact solution with the sum of absolute and relative error less than those using approximate solution obtained by the Adomian decomposition method without the use of Laplace transform. Therefore the Laplace Adomian decomposition method is more accurate than the Adomian decomposition method in order to estimate the exact solution of the Burgers equation.
Co-Authors Adam Victorio Alexis Anton Noornia Brinda Sari Daniel Alexander Devi Eka Wardani Meganingtyas Hadi Sutiawan Ibnu Hadi Indiyah, Fariani Hermin Khusnul Syuhada Lukita Ambarwati Mahalul Ilmi Makmuri Pinta Deniyanti Sampoerna Rafiqa Nabila Wisnu Kartika Ruby Fauziyah Andam Dewi Safira Putri Islamiati Sarah Disviana Suyono Suyono Tessa Hidayati Wimbo Fari Susilo