On the Application of the Adomian’s Decomposition Method to a Generalized Thermoelastic Infinite Medium with a Spherical Cavity in the Framework Three Different Models

Najat A. Alghamdi; Hamdy M. Youssef

doi:10.32604/fdmp.2019.05131

On the Application of the Adomian’s Decomposition Method to a Generalized Thermoelastic Infinite Medium with a Spherical Cavity in the Framework Three Different Models

Fluid Dynamics & Materials Processing ◽

10.32604/fdmp.2019.05131 ◽

2019 ◽

Vol 15 (5) ◽

pp. 597-611

Author(s):

Najat A. Alghamdi ◽

Hamdy M. Youssef

Keyword(s):

Spherical Cavity ◽

Decomposition Method ◽

Infinite Medium ◽

Adomian’S Decomposition Method ◽

Generalized Thermoelastic

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Mathematical model of generalized thermoelastic infinite medium with a spherical cavity and fractional order strain

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.012.01.03 ◽

2018 ◽

Vol 12 (01) ◽

pp. 30-37

Author(s):

Eman A. N. Al-Lehaibi

Keyword(s):

Mathematical Model ◽

Fractional Order ◽

Spherical Cavity ◽

Infinite Medium ◽

Generalized Thermoelastic

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Numerical Solution of One Dimensional Generalized Thermoelastic Problem by Using Adomian's Decomposition Method and Laplace's Transform Method

2018 28th International Conference on Computer Theory and Applications (ICCTA) ◽

10.1109/iccta45985.2018.9499176 ◽

2018 ◽

Author(s):

Hamdy M. Youssef ◽

Alaa A. El-Bary

Keyword(s):

Numerical Solution ◽

Decomposition Method ◽

Thermoelastic Problem ◽

Transform Method ◽

One Dimensional ◽

Adomian’S Decomposition Method ◽

Generalized Thermoelastic

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Generalized Thermoelastic Diffusion Problem for an Infinite Medium with a Spherical Cavity

International Journal of Thermophysics ◽

10.1007/s10765-011-1138-0 ◽

2011 ◽

Vol 33 (1) ◽

pp. 172-183 ◽

Cited By ~ 8

Author(s):

M. A. Elhagary

Keyword(s):

Spherical Cavity ◽

Diffusion Problem ◽

Infinite Medium ◽

Thermoelastic Diffusion ◽

Generalized Thermoelastic Diffusion ◽

Generalized Thermoelastic

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Generalized thermoelastic infinite medium with spherical cavity subjected to moving heat source

Computational Mathematics and Modeling ◽

10.1007/s10598-010-9066-6 ◽

2010 ◽

Vol 21 (2) ◽

pp. 212-225 ◽

Cited By ~ 10

Author(s):

Hamdy M. Youssef

Keyword(s):

Heat Source ◽

Spherical Cavity ◽

Infinite Medium ◽

Moving Heat Source ◽

Generalized Thermoelastic

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Adomian’s decomposition method and homotopy perturbation method in solving two-dimensional Volterra-Fredholm fuzzy integral equations

10.1063/5.0040135 ◽

2021 ◽

Author(s):

Atanaska Georgieva ◽

Iva Naydenova

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Fuzzy Integral ◽

Two Dimensional ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method

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The homotopy analysis method for solving the time-fractional Fornberg–Whitham equation and comparison with Adomian’s decomposition method

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.03.074 ◽

2013 ◽

Vol 37 (20-21) ◽

pp. 8876-8885 ◽

Cited By ~ 29

Author(s):

Mehmet Giyas Sakar ◽

Fevzi Erdogan

Keyword(s):

Homotopy Analysis Method ◽

Decomposition Method ◽

Analysis Method ◽

Adomian’S Decomposition Method ◽

Homotopy Analysis ◽

Whitham Equation

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A numerical solution of Burgers’ equation by time discretization of Adomian’s decomposition method

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.10.060 ◽

2005 ◽

Vol 170 (1) ◽

pp. 95-102 ◽

Cited By ~ 18

Author(s):

S. Abbasbandy ◽

M.T. Darvishi

Keyword(s):

Numerical Solution ◽

Decomposition Method ◽

Burgers Equation ◽

Time Discretization ◽

Adomian’S Decomposition Method

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Thermal shock behaviour on generalized thermoelastic semi-infinite medium with moving heat source under Green Naghdi-III model

Mathematical Models in Engineering ◽

10.21595/mme.2019.20904 ◽

2019 ◽

Vol 5 (3) ◽

pp. 79-89 ◽

Cited By ~ 4

Author(s):

Biswajit Singh ◽

Smita Pal (Sarkar)

Keyword(s):

Heat Source ◽

Thermal Shock ◽

Infinite Medium ◽

Moving Heat Source ◽

Generalized Thermoelastic ◽

Shock Behaviour ◽

Thermal Shock Behaviour

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Analytical Solution of Two Extended Model Equations for Shallow Water Waves By Adomian’S Decomposition Method

Advances in Pure Mathematics ◽

10.4236/apm.2011.14042 ◽

2011 ◽

Vol 01 (04) ◽

pp. 238-242 ◽

Cited By ~ 7

Author(s):

Mehdi. Safari

Keyword(s):

Analytical Solution ◽

Shallow Water ◽

Water Waves ◽

Decomposition Method ◽

Extended Model ◽

Shallow Water Waves ◽

Adomian’S Decomposition Method ◽

Model Equations

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Power law modeling of functionally graded Adomian’s decomposition method for thermoelastic materials in heat transfer and thermal stress analysis

Waves in Random and Complex Media ◽

10.1080/17455030.2021.1985184 ◽

2021 ◽

pp. 1-15

Author(s):

Eman A. N. Al-Lehaibi

Keyword(s):

Heat Transfer ◽

Thermal Stress ◽

Stress Analysis ◽

Power Law ◽

Decomposition Method ◽

Functionally Graded ◽

Thermal Stress Analysis ◽

Adomian’S Decomposition Method

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