THE STUDY OF HEAT TRANSFER PHENOMENA BY USING MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED BY LAPLACE TRANSFORM

被引:11
作者
Filobello-Nino, Uriel [1 ]
Vazquez-Leal, Hector [1 ]
Herrera-May, Agustin L. [2 ,3 ]
Ambrosio-Lazaro, Roberto C. [3 ]
Jimenez-Fernandez, Victor M. [1 ]
Sandoval-Hernandez, Mario A. [4 ]
Alvarez-Gasca, Oscar [1 ]
Palma-Grayeb, Beatriz E. [1 ]
机构
[1] Univ Veracruzana, Fac Instrumentac Elect, Xalapa, Veracruz, Mexico
[2] Univ Veracruzana Boca del Rio, Micro & Nanotechnol Res Ctr, Boca Del Rio, Veracruz, Mexico
[3] Univ Veracruzana, Fac Ingn Construcc & Habitat, Ingn Aplicada, Boca Del Rio, Veracruz, Mexico
[4] Natl Inst Astrophys Opt & Elect, Puebla, Mexico
来源
THERMAL SCIENCE | 2020年 / 24卷 / 02期
关键词
homotopy perturbation method; Laplace transform; heat conduction; EQUATION;
D O I
10.2298/TSCI180108204F
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, we present modified homotopy perturbation method coupled by Laplace transform to solve non-linear problems. As case study modified homotopy perturbation method coupled by Laplace transform is employed in order to obtain an approximate solution for the non-linear differential equation that describes the steady-state of a heat 1-D flow. The comparison between approximate and exact solutions shows the practical potentiality of the method.
引用
收藏
页码:1105 / 1115
页数:11
相关论文
共 28 条
[1]   A Novel Effective Approach for Solving Nonlinear Heat Transfer Equations [J].
Aminikhah, H. ;
Hemmatnezhad, M. .
HEAT TRANSFER-ASIAN RESEARCH, 2012, 41 (06) :459-467
[2]   The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs [J].
Aminikhah, Hossein .
APPLIED MATHEMATICAL MODELLING, 2012, 36 (08) :3638-3644
[3]  
[Anonymous], SERIE COMPENDIOS SCH
[4]  
[Anonymous], INT SCHOLARLY RES NE
[5]  
[Anonymous], SERIE COMPENDIOS SCH
[6]  
[Anonymous], MATH COMPUTER MODELL
[7]  
[Anonymous], MATH ANAL APPL
[8]   Approximate solutions for the generalized KdV-Burgers' equation by He's variational iteration method [J].
Assas, Laila M. B. .
PHYSICA SCRIPTA, 2007, 76 (02) :161-164
[9]  
El-Dib Y.O., 2017, Nonlinear Sci Lett A, V9, P352
[10]  
El-Dib YO., 2018, NONLINEAR SCI LETT, V9, P219