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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.
Pelatihan Digital Mindset untuk Meningkatkan Kompetensi Guru dalam Penguatan Pembelajaran Inovatif dan Berkelanjutan Muhammad Japar; Nadiroh Nadiroh; Hermanto Hermanto; Eti Dwi Wiraningsih; Karisdha Pradityana; Nurul Kusniah
JURPIKAT Vol 7 No 2 (2026)
Publisher : Politeknik Piksi Ganesha Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37339/jurpikat.v7i2.3177

Abstract

Digital mindset training for teachers is essential in addressing the challenges of learning in the digital era, particularly in improving innovative and sustainable pedagogical competencies. The problems faced include limited understanding of digital mindset concepts, the tendency to use technology at a technical level, and the lack of pedagogically oriented training. This activity aimed to enhance the competencies of junior high school PPKn teachers in DKI Jakarta through digital mindset training. The methods included needs identification, training design and implementation through seminars, interactive discussions, and practical sessions, as well as evaluation using pre-test and post-test. The activity involved 35 participants from the MGMP PPKn SMP. The results showed an increase in understanding, indicated by the rise in average scores from 62.4 to 82.7 and supported by significant t-test results. In addition, teachers’ perspectives shifted toward a more collaborative and pedagogical use of technology. This training effectively improved teachers’ competencies in developing innovative and sustainable learning.