Approximate Solutions of the Cauchy Problem for the Heat Equations

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Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Physics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Homotopy Analysis Method (HAM) [1-2] is applied to the problem of the one-dimensional heat equations with a non-linear heat source subject to the temperature and the heat flux given at a single boundary to obtain the analytical solutions. Solutions obtained take an important place for one-dimensional heat flow as applied to a few regular geometries such as slabs, cylinders and spheres. Some of the test problems are presented to show the efficiency of HAM.

Açıklama

1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY

Anahtar Kelimeler

Cauchy Problem, Heat Equation, Homotopy Analysis Method, Homotopy Analysis Method, Perturbation Method, Algorithm

Kaynak

First International Conference On Analysis And Applied Mathematics (Icaam 2012)

WoS Q Değeri

N/A

Scopus Q Değeri

N/A

Cilt

1470

Sayı

Künye