Open AccessPENYELESAIAN PERSAMAAN POISSON MENGGUNAKAN METODE HOMOTOPI PERTUBASI
Author(s) -
Mashuri Mashuri,
Sulistiowati Nur Rahmi,
Marwah Daud Wijayanti,
Alviana Pratama Putri
Publication year - 2021
Publication title -
jurnal ilmiah matematika dan pendidikan matematika (jmp)/jurnal ilmiah matematika dan pendidikan matematika
Language(s) - English
Resource type - Journals
eISSN - 2550-0422
pISSN - 2085-1456
DOI - 10.20884/1.jmp.2021.13.2.5028
Subject(s) - homotopy analysis method , mathematics , homotopy , mathematical analysis , homotopy perturbation method , exact solutions in general relativity , poisson distribution , power series , poisson's equation , adomian decomposition method , partial differential equation , pure mathematics , statistics
In this paper, we discuss the solution of the Poisson equation with some initial condition. We use the homotopy pertubation method to get the solution.. The homotopy pertubation method is a combination of the homotopy method and the pertubation method. The solution of the equation is assumed to be in the form of a power series. The result is by using the homotopy pertubation method for the diffution equation, the solution is the same with the exact solution.