A comparison of numerical and semi-analytical methods for the case of heat transfer equations arising in porous medium

被引：16

作者：

Parand, K. ^{[1
,2
]}

Rad, J. A. ^{[1
,2
]}

Ahmadi, M. ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, Dept Comp Sci, GC, Tehran, Iran

[2] Shahid Beheshti Univ, Dept Cognit Modeling, Inst Cognit & Brain Sci, GC, Tehran, Iran

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 09期

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; ADOMIAN DECOMPOSITION METHOD; CONVECTION BOUNDARY-LAYERS; CHEBYSHEV TAU-METHOD; MASS-TRANSFER; NATURAL-CONVECTION; DARCIAN FLUID; HERMITE FUNCTIONS; WALL TEMPERATURE; SPECTRAL METHODS;

D O I：

10.1140/epjp/i2016-16300-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Natural convective heat transfer in porous media which is of importance in the design of canisters for nuclear waste disposal has received considerable attention during the past few decades. This paper presents a comparison between two different analytical and numerical methods, i.e. pseudospectral and Adomian decomposition methods. The pseudospectral approach makes use of the orthogonal rational Jacobi functions; this method reduces the solution of the problem to a solution of a system of algebraic equations. Numerical results are compared with each other, showing that the pseudospectral method leads to more accurate results and is applicable on similar problems.

引用

页数：15

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