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Munadi Munadi
Depaertemen Teknik Mesin, Universitas Diponegoro, Jl. Prof. Sudarto, SH. Tembalang, Semarang.
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Journal : Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)

 1 
MATRIX FLUX POTENTIAL BEBERAPA JENIS TANAH HOMOGEN PADA MASALAH INFILTRASI STASIONER DARI SUATU SALURAN IRIGASI TUNGGAL Munadi, Munadi; Isnani, Isnani; Oktaviani, Dian Nataria; Utami, Wikan Budi; Ariwibowo, M. Dwi
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 14 No 1 (2022): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2022.14.1.5688

Abstract

ABSTRACT. In this paper, we study the problem of stationary infiltration on several types of homogeneous soil from a single trapezoidal channel. A governing equation in this problem is in the form of a nonlinear differential equation and is called the Richards’ equation. The equation can be solved more easily by transforming it into a modified Helmholtz equation. In this study, the Dual Reciprocity Boundary Element Method (DRBEM) was used to solve the modified Helmholtz equation numerically. Then, using the obtained solution, the numerical values of the Matric Flux Potential (MFP) for each soil type were computed and then compared. For the position of the same points, the Pima Clay Loam soil type has the highest MFP value, followed by Clay Loam and Sandy Loam.Keywords: Richards’ equation, modified Helmholtz equation, matric flux potential, DRBEM, single irrigation channel. ABSTRAK. Dalam artikel ini dibahas masalah infiltrasi stasioner pada beberapa jenis tanah homogen dari saluran irigasi tunggal bentuk trapesium. Persamaan pengatur masalah ini berbentuk persamaan diferensial nonlinear dan disebut dengan persamaan Richards. Persamaan tersebut dapat diselesaikan lebih mudah dengan mentransformasikannya menjadi persamaan Helmholtz termodifikasi. Dalam artikel ini, Dual Reciprocity Boundary Element Methods (DRBEM) digunakan untuk menyelesaikan persamaan Helmholtz termodifikasi tersebut secara numerik. Selanjutnya, dihitung nilai numerik Matric Flux Potential (MFP) masing-masing jenis tanah dan kemudian dibandingkan. Untuk posisi titik-titik yang sama, jenis tanah Pima Clay Loam mempunyai nilai MFP tertinggi, kemudian disusul oleh Clay Loam dan Sandy Loam. Kata Kunci: persamaan Richards, persamaan Helmholtz termodifikasi, matric flux potential, DRBEM, saluran irigasi tunggal.
Co-Authors Achmad Widodo Adhityanendra Pandu Pratama Aditiyo, Bob Afrisal, Hadha Agus Mukhtar Agus Riyadi Agus Salim Salabi Agustina Agustina Agustina, Tyupnora Ahmad Fauzan Suryono Ahmad, Zakki Kurniawan AHMADI Andy Rahmawan Anna Ujainah, Anna Ariwibowo, M. Dwi Ariyanto, Moch. Atanasius Priharyoto Bayuseno Aulia Syukri Aulia, Dito Rahmat Bakhtiar Alldino Ardi Sumbodo Bakir, Bakir Beni Anggoro Budi Setiyana Budi Utomo Chairunnisa Chairunnisa Cleopas Martin Rumende Dalimunthe, Siti Aisyah Dedi Suryadi Desiana , Desiana Dewi Astuti Dian Nataria Oktaviani Diki, Diki Dwiyanto, Yahya Fikri Eka Putri Emmanuel Agung Nugroho Ermanu Hanindityo Evandari, Emi Gunawan Dwi Haryadi Hadi, Taufiqul Hadiyanti, Heni Hari Peni Julianti Hermawan Setiadi Hozairi Ismiyati Ismiyati Ismoyo Haryanto Isnani Isnani Isnaniar Iswanto, Budi J. Jamari Jalu Rahmadi Mukti Jannah, Helmi Roichatul Joga D Setiawan Joga D. Setiawan Joga Dharma Setiawan Kuswani, Lili M Yamin M. Amirullah Akbar M. Yamin Marcus Tukan Margianah, Sri Suci Meilianda, Rifki Miftahulumudin, Yadi Afriyadi Mochammad Ariyanto Mochammad Ariyanto Mohammad Tauviqirrahman Mudjiastuti Handajani Muftashiva, Tiara Diva Muhammad Faris, Muhammad Muhammad Surya Mulkan Azhari Muminu, Muminu Murzalina, Cut Nasukha, Munthoha Noorasheed, Willy Norman Iskandar Nugraha, Rahmad Agung Parabowo, Teguh Paridjo Paridjo, Paridjo Paryanto Paryanto Poerwandito, Reza Pratiwi, Septiana Nur Purwanto, Burhan Eko Purwiantoro, Arman Purwo susongko R. Andhika Pandu Rachmad Suhanda Rahmadi, Kristian Jati Rifky Ismail Riskaldy, Riskaldy Rizky Wiradinata Rokhman, Moh. Shaefur Royyan Saputra Rudy Setiawan Ruhmi, Huddah Arami Sabiila, Aziizun Samhudi Samhudi Setiawan, Muhammad Nanda Sonia, Devi Rezha Sudarmanto Sudarmanto, Sudarmanto Sunarsih Sunarsih Suriadi Suriadi Suriswo Syafira, Aulia Toni Prahasto Trismianto, Devout Prakoso Wahroni, Wahroni Waren, N Wignes Warsini Warsini Wibowo, Fajar Hadi Wijaya, Johanna Fransisca Wikan Budi Utami Winda Yulia Yudha, Aldi Arga Zubaidah, Duwi Zulkarnain Zulkarnain