Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel

American Journal of Computational Mathematics ◽

10.4236/ajcm.2016.62019 ◽

2016 ◽

Vol 06 (02) ◽

pp. 177-183

Author(s):

Fatheah Ahmed Hendi ◽

Manal Mohamed Al-Qarni

Keyword(s):

Integral Equation ◽

Toeplitz Matrix ◽

Matrix Method ◽

Decomposition Method ◽

Hilbert Kernel ◽

Adomian’S Decomposition Method

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Toeplitz matrix method and nonlinear integral equation of Hammerstein type

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.02.012 ◽

2009 ◽

Vol 223 (2) ◽

pp. 765-776 ◽

Author(s):

M.A. Abdou ◽

M.M. El-Borai ◽

M.M. El-Kojok

Keyword(s):

Integral Equation ◽

Toeplitz Matrix ◽

Matrix Method ◽

Nonlinear Integral Equation

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ADOMAIN DECOMPOSITION METHOD FOR SOLVING OF FREDHOLM INTEGRAL EQUATION OF THE SECONED KIND USING MATLAB

International Journal of Geomate ◽

10.21660/2016.28.1302 ◽

2016 ◽

Author(s):

Dalal Adnan Maturi

Keyword(s):

Integral Equation ◽

Fredholm Integral Equation ◽

Decomposition Method

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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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A Real-Valued Toeplitz Matrix Method for DOA Estimation

Canadian Journal of Electrical and Computer Engineering ◽

10.1109/cjece.2020.3005226 ◽

2020 ◽

Vol 43 (4) ◽

pp. 350-356

Author(s):

Jianxiong Li ◽

Deming Li ◽

Xianguo Li

Keyword(s):

Toeplitz Matrix ◽

Matrix Method ◽

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Integral equation based on domain decomposition method for PEC body of translation

CSQRWC 2012 ◽

10.1109/csqrwc.2012.6294969 ◽

2012 ◽

Author(s):

Jiang Ming ◽

Jun Hu ◽

Ran Zhao ◽

Zaiping Nie

Keyword(s):

Integral Equation ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain 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 ◽

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 ◽

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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A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral equation MLFMA [multilevel fast multipole algorithm]

IEEE Antennas and Propagation Society Symposium, 2004. ◽

10.1109/aps.2004.1329641 ◽

2004 ◽

Author(s):

D. Goudin ◽

M. Mandallena ◽

K. Mer-Nkonga ◽

B. Stupfel

Keyword(s):

Integral Equation ◽

Finite Element ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Massively Parallel ◽

Electromagnetic Problems ◽

Hybrid Finite Element ◽

Parallel Hybrid ◽

Multilevel Fast Multipole Algorithm ◽

Fast Multipole Algorithm

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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

American Journal of Applied Mathematics ◽

10.11648/j.ajam.20180604.12 ◽

2018 ◽

Vol 6 (4) ◽

pp. 142

Author(s):

Ali Elhrary Abaoub

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Adomian Decomposition

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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 ◽

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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