Open AccessDifferential Transformation Method for Solving Nonlinear Heat Transfer Equations
Author(s) -
Anwar Mohamed Jawad,
Alaulddin Hamoodi
Publication year - 2021
Publication title -
magallaẗ kulliyyaẗ al-rāfidayn al-ǧāmi'aẗ al-'ulūm/maǧallaẗ kulliyyaẗ al-rāfidayn al-ǧāmiʻaẗ li-l-ʻulūm
Language(s) - English
Resource type - Journals
eISSN - 2790-2293
pISSN - 1681-6870
DOI - 10.55562/jrucs.v32i2.332
Subject(s) - homotopy analysis method , nonlinear system , mathematics , heat transfer , differential equation , mathematical analysis , thermal conduction , partial differential equation , convective heat transfer , transformation (genetics) , series (stratigraphy) , homotopy , physics , thermodynamics , chemistry , biochemistry , quantum mechanics , gene , pure mathematics , paleontology , biology
In this paper, Differential Transformation Method (DTM) is applied for solving the nonlinear differential equations arising in the field of heat transfer. The solution is considered as an infinite series expansion where converges rapidly to the exact solution. The nonlinear convective–radioactive cooling equation and nonlinear equation of conduction heat transfer with the variable physical properties are chosen as illustrative examples and solutions have been found for each case. Results by DTM with other results calculated by Homotopy Perturbation Method are compatible.