Open AccessPenerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas
Author(s) -
Muhammad Abdy,
Syafruddin Side,
Reza Arisandi
Publication year - 2019
Publication title -
jmathcos/jmathcos (journal of mathematics, computation, and statistics)
Language(s) - English
Resource type - Journals
eISSN - 2721-0863
pISSN - 2476-9487
DOI - 10.35580/jmathcos.v1i2.9243
Subject(s) - adomian decomposition method , mathematics , laplace transform , laplace's equation , mathematical analysis , nonlinear system , partial differential equation , physics , quantum mechanics
Abstrak. Artikel ini membahas tentang penerapan Metode Dekomposisi Adomian Laplace (LADM) dalam menentukan solusi persamaan panas. Metode Dekomposisi Adomian Laplace merupakan metode semi analitik untuk menyelesaikan persamaan diferensial nonlinier yang mengkombinasikan antara tranformasi Laplace dan metode dekomposisi Adomian. Berdasarkan hasil perhitungan, metode dekomposisi Adomian Laplace dapat menghampiri penyelesaian persamaan diferensial biasa nonlinear.Kata kunci: Metode Dekomposisi Adomian Laplace, Persamaan Diferensial Parsial, Persamaan PanasAbstract. This study discusses the application of Adomian Laplace Decomposition Method (ALDM) in determining the solution of heat equation. Adomian Laplace Decomposition Method is a semi analytical method to solve nonlinear differential equations that combine Laplace transform and Adomian decomposition method. Based on the calculation result, Adomian Laplace decomposition method can approach the settlement of ordinary nonlinear differential equations.Keywords: Adomian Laplace Decomposition Method, Partial Differential Equation, Heat Equation.