JMT (Jurnal Matematika dan Terapan)
Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)

Solusi Semi Analitik Persamaan Burgers Menggunakan Metode Dekomposisi Adomian Laplace

Brinda Sari (Universitas Negeri Jakarta)
Lukita Ambarwati (Universitas Negeri Jakarta)
Eti Dwi Wiraningsih (Universitas Negeri Jakarta)



Article Info

Publish Date
31 Aug 2023

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.

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Journal Info

Abbrev

jmt

Publisher

Subject

Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

Description

JMT (Jurnal Matematika dan Terapan) is a journal that publishes about scientific papers containing fields of mathematics such as analysis, geometry, algebra and its application. This mathematics journal contains about the result of student thesis, research lecturer both in mathematics prodi unj and ...