Claim Missing Document
Check
Articles

Found 2 Documents
Search
Journal : BAREKENG: Jurnal Ilmu Matematika dan Terapan

SOLUSI PERSAMAAN EMDEN-FOWLER ORDE DUA DENGAN MEMANFAATKAN MATRIKS OPERASIONAL DARI POLINOMIAL BERNSTEIN Yudhi Yudhi; Evi Noviani; Sarah Aljona
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 2 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (526.111 KB) | DOI: 10.30598/barekengvol15iss2pp335-346

Abstract

Dalam penelitian ini, matriks operasional dari Polinomial Bernstein digunakan untuk mengaproksimasi solusi Persamaan Emden-Fowler orde dua. Untuk mencari solusi Persamaan Emden-Fowler digunakan matriks operasional integral dan matriks operasional diferensial dari Polinomial Bernstein. Karena Persamaan Emden-Fowler berorde dua, maka digunakan dalam matriks operasional dari Polinomial Bernstein. Berdasarkan hasil penelitian bahwa solusi Persamaan Emden Fowler dengan diperoleh galat yang lebih kecil daripada dengan , baik menggunakan matriks operasional integral maupun matriks operasional diferensial dari Polinomial Bernstein
FUNGSI GREEN UNTUK PERSAMAAN DIFUSI-ADVEKSI DENGAN SYARAT BATAS DIRICHLET Josua Josua; Evi Noviani; Fransiskus Fran
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (976.698 KB) | DOI: 10.30598/barekengvol14iss2pp211-222

Abstract

Diffusion-advection is the process of transportation of matter from one part of a system to another as a result of random molecular motions involving fluid transport processes in the form of mean flow or currents which are driven by gravity or pressure forces and in the form of horizontal motions. Mathematically, diffusion-advection equation can be written as where is concentration of material in the fluid, stands for the advection velocity, and for diffusion coefficient. In this paper, a solution is sought by using the Green’s function concept. The general solution for Green’s function that can be solved in two parts, namely, the principal solution and the regular solution. The principal solution is obtained by applying the Fourier transform to the variable which is denoted by and then calculate the inverse of its transform. A regular solution is obtained based on an inspection approach that is designed on a negative heat source.