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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.
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL PROGRAM LINEAR TIPE HIGHER ORDER THINKING SKILLS DITINJAU DARI GAYA KOGNITIF Nurherdiati, Ratna; Ambarwati, Lukita; Meiliasari, Meiliasari
Jurnal Penelitian dan Pembelajaran Matematika Vol 16, No 2 (2023): JPPM (Jurnal Penelitian dan Pembelajaran Matematika) Volume 16 Nomor 2 Agustus
Publisher : Universitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30870/jppm.v16i2.21446

Abstract

Penelitian ini bertujuan untuk mendeskripsikan kesalahan-kesalahan yang dilakukan siswa dalam menyelesaikan soal program linear tipe HOTS serta mencari penyebab yang mempengaruhinya ditinjau dari gaya kognitif field dependent (FD) dan field independent (FI). Jenis penelitian ini adalah penelitian deskriptif kualitatif, dengan melakukan penelitian pada siswa kelas XI di Madrasah Aliyah Citra Cendekia Jakarta Selatan pada semester ganjil tahun pelajaran 2022/2023. Hasil penelitian ini yaitu siswa dengan gaya kognitif FD cenderung melakukan kesalahan membaca, kesalahan pemahaman, kesalahan transformasi, kesalahan keterampilan proses, dan kesalahan pengkodean. Sedangkan siswa dengan gaya kognitif FI melakukan kecenderungan kesalahan keterampilan proses dan kesalahan pengkodean. Penyebab siswa melakukan kesalahan antara lain karena terburu-buru, kurang teliti, kurang peka, kurang memahami soal, kekurangan waktu, terlalu lama memahami soal, lupa cara penyelesaian, dan bingung menghubungkan informasi untuk menyelesaian soal.  Kata kunci: Newman, Program Linear, HOTS, field dependent, field independent
Pelatihan Penggunaan Octave pada Pembelajaran Matematika untuk Guru-Guru SMA di Kabupaten Sukabumi Provinsi Jawa Barat Lukita Ambarwati; Devi Eka Wardani Meganingtyas; Leny Dhianti Haeruman; Jason Christiawan Widiaputera; Ananda Fitri Rahmawati
Jurnal Pengabdian KOLABORATIF Vol. 3 No. 1 (2025): January
Publisher : Faculty of Engineering, Universitas Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26623/jpk.v3i1.11060

Abstract

An important aspect that needs attention to support success in the learning process is the teacher's competency. One of the key competencies required by teachers is mastery of technology, which supports the development of TPACK (Technological Pedagogical Content Knowledge)-based learning. Additionally, mastery of technology can help develop learning media and serve as a learning aid. One of the software that can be used as an option for learning media is Octave. Octave is open-source software, allowing teachers to access it for free. It can be used as a medium/teaching tool to explain various mathematical concepts, such as functions, function limits, derivatives, integrals, and more. This training was attended by high school teachers and took place at Al Bayan Superior High School, Sukabumi Regency. During the training, participants were taught how to use Octave in mathematics instruction to enhance teacher competency. The results of the training show that the use of Octave can support learning in schools by boosting teacher competency and inspiring teachers to become more professional. This, in turn, leads to improved learning quality in schools, which ultimately enhances the overall quality of education.