JMPM: Jurnal Matematika dan Pendidikan Matematika
Vol 10 No 1 (2025): March - August 2025

Solusi Eksak Persamaan Burgers 3 Dimensi dengan Metode Perturbasi Homotopi-Transformasi Sumudu

Shafakamila, Salsabila Nazla (Unknown)
Suryanto, Agus (Unknown)



Article Info

Publish Date
20 Aug 2025

Abstract

This article discusses the solution of the Burgers equation, which is a nonlinear partial differential equation, particularly for the 3D Burgers equation. This equation will be solved using a combination of the Homotopy Perturbation Method (HPM) and the Sumudu Transform (ST), known as HPM-ST. HPM-ST an alternative method to those found in the existing literature. This method is effective and easy to determine the analytic solution of nonlinear equations. To implement HPM-ST, the Sumudu transform and inverse Sumudu transform are applied first, so a nonlinear differential equation is obtained that does not depend on the variable t. Then, HPM is applied to this equation to derive an infinite series, which can be approximated using a Maclaurin series. The analytical solution of the 3D Burgers equation obtained by HPM-ST is equivalent to the exact solution. To provide an overview of the solution of the 3D Burgers equation, a visualization of the obtained solution is also presented using MATLAB.  

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Journal Info

Abbrev

jmpm

Publisher

Subject

Education Mathematics

Description

JMPM: Jurnal Matematika dan Pendidikan Matematika (e-ISSN: 2502-9878, p-ISSN: 2502-986X) is a journal publishes original research and review articles in the field of mathematics and mathematics education. This journal published twice a year (in March and ...