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All Journal Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Mahmudi Mahmudi
Universitas Islam Negeri Syarif Hidayatullah Jakarta
Decision Sciences, Operations Research & Management Education Mathematics

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ANALISIS LAJU PREDIKSI INFLASI DI INDONESIA: PERBANDINGAN MODEL GARCH/ARCH DENGAN LONG SHORT TERM MEMORY Agisna Mutiara; Nina Fitriyati; Mahmudi Mahmudi
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 1 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i1.508

Abstract

Inflation is a condition wherein the general level of prices for goods and services in an economy continually rises. Predicting inflation serves as a crucial link in establishing future inflation values. The dynamic nature of inflation allows for changes over time, forming a nonlinear model capable of providing more accurate inflation predictions. This research aims to examine and compare the effectiveness of GARCH/ARCH and LSTM models in predicting inflation data.The results of the study indicate that the LSTM model proves to be the superior choice for predicting inflation with higher accuracy when compared to the GARCH model. The GARCH model produces more accurate predictions of future inflation periods, as evidenced by the Mean Absolute Percentage Error (MAPE) value of 2.6814%. This value signifies the extent of the comparison between the actual and predicted model values. In contrast, the LSTM model yields a Mean Absolute Error (MAE) value of 0.00895358, demonstrating its superior accuracy.Therefore, the findings of this research can be considered a valuable reference for a country looking to predict inflation more effectively. Utilizing advanced time series models, such as LSTM, can enhance the accuracy of inflation predictions, providing policymakers with valuable insights for informed decision-making
SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP Jihandika Prayugo; Suma Inna; Mahmudi Mahmudi; Nia Damiati
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 1 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i1.554

Abstract

This article discusses the solution of the linear Navier-Stokes-Korteweg model in  considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the capillary effect. To overcome the impact of the capillary effect, Korteweg developed the Navier-Stokes model by incorporating the element of capillary into the Navier-Stokes equations. The results of this article show that the Korteweg-type Navier-Stokes model has a solution for the coefficient case  with . The emergence of this coefficient case is related to the condition of the roots of the characteristic equation of the model described in this article.
Co-Authors Agisna Mutiara Damiati, Nia Jihandika Prayugo Nina Fitriyati Suma Inna