Efektivitas E-Learning Materi Persamaan Bessel Menggunakan Schoology pada Fisika Matematika untuk Melatih Karakter Mahasiswa

Kemajuan zaman yakni dari segi teknologi memiliki peranan penting dalam mendukung pembelajaran. Fokus dari penelitian ini adalah mendeskripsikan efektivitas E-learning Schoology pada materi persamaan Bessel untuk melatih karakter mahasiswa. Penelitian ini merupakan bagian dari Research and Development dengan model Allessi & Trolyb (Planning, Design, Development). Subjek uji coba adalah 25 mahasiswa Pendidikan Fisika FKIP UHAMKA semester IV yang dipilih secara purposive samlpling. Teknik pengumpulan data adalah melalui observasi yang digunakan untuk mengetahui hasil kegiatan dengan pembelajaran E-Learning melalui media Schoology. Penelitian dan pengembangan ini menghasilkan Kelayakan penggunaan E-learning Schoology ditinjau dengan menggunakan angket untuk mengukur karakter mahasiswa pada pengumpulan tugas. Kelayakan penggunaan Schoology dengan nilai rata-rata 71% dengan kriteria baik saat menggunakan E-learning Schoology ditunjukkan dengan nilai rata-rata keseluruhan untuk 6 prinsip karakter pengguna tingkat tinggi dengan rata-rata kejujuran 8,58, disiplin rata-rata 9, 08, materi iklan rata-rata 9,33, rata-rata 8,76 dan tanggung jawab rata-rata 7,37. Rata-rata keseluruhan karakter adalah 8,60 (baik). Simpulannya adalah bahwa E-learning melalui media Schoology layak untuk melatih karakter dalam belajar mahasiswa semester IV pada materi persamaan Bessel.The progress of the times in terms of technology has an important role in supporting learning. The focus of this research is describes the effectiveness of e-learning Schoology on the Bessel equation material to train student character. This research is part of the Research and Development by Alessi & Trolyb (Planning, Design, Development) model. The test subjects were 25 Physics Education FKIP UHAMKA semester IV students selected by purposive sampling. The data collection technique is through observation used to find out the results of activities with E-Learning learning through Schoology media. This research and development resulted in the feasibility of using E-learning Schoology reviewed by using a questionnaire to measure students' character in collecting assignments. The feasibility of using Schoology with an average value of 71% with good criteria when using E-learning Schoology is indicated by the overall average score for six high-level user character principles with an average honesty of 8.58, discipline an average of 9.08, creative average 9.33, average 8.76 and average responsibility 7.37. The overall average of the characters is 8.60, with a good category. This research concludes that E-learning through Schoology is feasible to train character in fourth-semester student learning on the Bessel equation material.

Unsteady Flow of a Dusty Gas Through a Horizontal Pipe with Time Varying Pressure Gradient

In the present paper, the unsteady flow of a dusty gas through a pipe under the effect of the linear and exponential pressure gradient is established. Firstly the equation of motion of the fluid and dust particles is considered and then converts it into the Bessel equation by introducing two different parameters. Using the solution of the Bessel equation, the velocity of the gas and dust particles is obtained and shown graphical representation.It is found that the velocities increases as one move towards the axis of the pipe. Under the linear pressure gradient, the velocity of the gas is greater than the velocity of dust particles. As time progresses velocity increases and under exponential pressure gradient the velocity of the dust particles is greater than the velocity of the gas. As time progresses velocity decreases.

Unsteady Flow of a Dusty Gas Through a Horizontal Pipe with Time Varying Pressure Gradient

In the present paper, the unsteady flow of a dusty gas through a pipe under the effect of the linear and exponential pressure gradient is established. Firstly the equation of motion of the fluid and dust particles is considered and then converts it into the Bessel equation by introducing two different parameters. Using the solution of the Bessel equation, the velocity of the gas and dust particles is obtained and shown graphical representation.It is found that the velocities increases as one move towards the axis of the pipe. Under the linear pressure gradient, the velocity of the gas is greater than the velocity of dust particles. As time progresses velocity increases and under exponential pressure gradient the velocity of the dust particles is greater than the velocity of the gas. As time progresses velocity decreases.

Inverse nodal problem for p−Laplacian Bessel equation with polynomially dependent spectral parameter

In this study, solution of inverse nodal problem for p−Laplacian Bessel equation is extended to the case that boundary condition depends on polynomial eigenparameter. To find spectral datas as eigenvalues and nodal parameters of this problem, we used a modified Prüfer substitution. Then, reconstruction formula of the potential functions is also obtained by using nodal lenghts. However, this method is similar to used in [Koyunbakan H., Inverse nodal problem for p−Laplacian energy-dependent Sturm-Liouville equation, Bound. Value Probl., 2013, 2013:272, 1-8], our results are more general.

On nabla discrete fractional calculus operator for a modified Bessel equation

In thermal sciences, it is possible to encounter topics such as Bessel beams, Bessel functions or Bessel equations. In this work, we also present new discrete fractional solutions of the modified Bessel differential equation by means of the nabla-discrete fractional calculus operator. We consider homogeneous and non-homogeneous modified Bessel differential equation. So, we acquire four new solutions of these equations in the discrete fractional forms via a newly developed method