Judul: Dampak Zakat Produktif Terhadap Perkembangan Usaha Mustahik Kecamatan Tualang
Abstrak: Pandemi Covid-19 memberikan dampak besar terhadap perkembangan usaha mikro. Adanya pembatasan aktivitas masyarakat menyebabkan penurunan penjualan yang berdampak pada kesulitan permodalan untuk menjalankan usahanya. Dana zakat produktif dapat menjadi solusi dalam menangani permasalahan tersebut. Penelitian ini bertujuan mengetahui karakteristik mustahik dan karakteristik usahanya, menganalisis faktor-faktor yang memengaruhi peningkatan omzet usaha mustahik sesudah pemberian dana zakat produktif pada masa pandemi Covid-19 beserta dampaknya. Metode yang digunakan adalah analisis deskriptif, analisis regresi linear berganda dan uji-t sampel berpasangan. Hasil penelitian menunjukkan adanya perubahan omzet usaha sebelum dan sesudah pemberian dana zakat produktif pada masa pandemi Covid-19. Faktor-faktor yang memengaruhi peningkatan perolehan omzet usaha sesudah pemberian dana zakat produktif pada masa pandemi Covid-19 secara positif dan signifikan adalah modal, jumlah dana zakat, dummy pendidikan dan dummy jenis usaha. Lama usaha berpengaruh negatif dan signifikan, sedangkan usia tidak signifikan terhadap peningkatan perolehan omzet usaha., The Covid-19 pandemic gives a major impact on the development of micro business. The restrictions of social activities decrease sales which has affected the capital economy. Productive zakat funds can be a solution in dealing with these problems. This research aims to determine the characteristics of mustahik and their business, analyze the factors that affect mustahik total revenue after the distribution of productive zakat during the Covid-19 pandemic and its impact. The method used is descriptive analysis, multiple linear regression analysis, and paired t test. The results showed that there was a difference in the total revenue of business before and after the distribution of productive zakat during the Covid-19 pandemic. The factors that have a positive and significant effect on business total revenue after the distribution of productive zakat during the Covid-19 are capital, the amount of zakat funds, dummy education, and dummy business type. The business duration affects negatively and significantly, however the respondents’ age doesn’t significantly affect total revenue increments.
Keyword: OLS, total revenue, Covid-19 pandemic, micro business, productive zakat

Judul: The Effect of Productive Zakat Assistance on The Income of Mustahik (Case Study BAZNAS North Sumatera)
Abstrak: Adanya kebijakan pembatasan mobilisasi sebagai upaya penanganan covid mengakibatkan menurunnya penjualan yang berimbas kesulitan modal pelaku UMKM di Sumatera Utara. BAZNAS Sumatera Utara memiliki Program zakat produktif untuk membantu pelaku usaha yang mengalami kesulitan modal usaha. Tujuan penelitian ini adalah untuk mengetahui karakteristik usaha mustahik serta mengkaji faktor-faktor yang memengaruhi penambahan pendapatan usaha mustahik pasca menerima bantuan zakat produktif beserta dampaknya. Penelitian ini menerapkan menggunakan data dari 60 responden yang diambil secara offline dan online dan dianalisis menggunakan regresi linear berganda dan uji t. Hasil analisis menunjukkan adanya perbedaan pendapatan usaha mustahik sebelum dan sesudah mendapatkan bantuan zakat produktif. Faktor-faktor yang secara positif dan signifikan memengaruhi pendapatan mustahik adalah selisih pendapatan mustahik, modal, jumlah dana zakat, lama usaha, dan usia sedangkan pendapatan sebelum pendanaan zakat tidak berpengaruh terhadap pendapatan mustahik.
Keyword: BAZNAS, Multiple Linear Regression, Mustahik, Operating Revenues, Productive Zakat

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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