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

Mapping Intimacies ◽

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

Download Full-text

Numerical solutions of the integral equations: Homotopy perturbation method and Adomian’s decomposition method

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.04.077 ◽

2006 ◽

Vol 173 (1) ◽

pp. 493-500 ◽

Author(s):

S. Abbasbandy

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Numerical Solutions ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method

Download Full-text

Equivalence between homotopy perturbation method and Adomian decomposition method in solving two dimensional linear Fredholm integral equations

10.1063/1.4903561 ◽

2014 ◽

Author(s):

Mohammad Almousa ◽

Ahmad Izani Md. Ismail

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Adomian Decomposition Method ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation ◽

Adomian Decomposition

Download Full-text

A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.10.071 ◽

2007 ◽

Vol 31 (1) ◽

pp. 257-260 ◽

Author(s):

S. Abbasbandy

Keyword(s):

Perturbation Method ◽

Numerical Solution ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method ◽

Blasius Equation

Download Full-text

Study of convergence of Homotopy perturbation method for two-dimensional linear Volterra integral equations of the first kind

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2014.059379 ◽

2014 ◽

Vol 5 (1) ◽

pp. 72 ◽

Author(s):

Mostafa Eslami ◽

M. Mirzazadeh

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation ◽

Linear Volterra Integral Equations

Download Full-text

Application Of Homotopy Perturbation Method For Fuzzy Integral Equations

Journal of Mathematics and Computer Science ◽

10.22436/jmcs.001.04.15 ◽

2010 ◽

Vol 01 (04) ◽

pp. 377-385 ◽

Author(s):

Mashallah Matinfar ◽

Mohammad Saeidy

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Fuzzy Integral ◽

Homotopy Perturbation

Download Full-text

He’s homotopy perturbation method: An effective tool for solving a nonlinear system of two-dimensional Volterra–Fredholm integral equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.10.003 ◽

2012 ◽

Vol 55 (3-4) ◽

pp. 1233-1244 ◽

Author(s):

E. Babolian ◽

N. Dastani

Keyword(s):

Nonlinear System ◽

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation

Download Full-text

Convergence of Homotopy Perturbation Method for Solving of Two-Dimensional Fuzzy Volterra Functional Integral Equations

Advanced Computing in Industrial Mathematics - Studies in Computational Intelligence ◽

10.1007/978-3-319-97277-0_11 ◽

2018 ◽

pp. 129-145 ◽

Author(s):

Atanaska Georgieva ◽

Artan Alidema

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Functional Integral ◽

Two Dimensional ◽

Homotopy Perturbation ◽

Functional Integral Equations

Download Full-text

Adomian’s decomposition method and homotopy perturbation method in solving nonlinear equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.09.007 ◽

2009 ◽

Vol 228 (1) ◽

pp. 168-173 ◽

Author(s):

Jian-Lin Li

Keyword(s):

Perturbation Method ◽

Nonlinear Equations ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method

Download Full-text

Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian’s decomposition method

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.02.014 ◽

2006 ◽

Vol 172 (1) ◽

pp. 485-490 ◽

Author(s):

S. Abbasbandy

Keyword(s):

Differential Equation ◽

Perturbation Method ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Riccati Differential Equation ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method

Download Full-text

A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations

Journal of Applied Sciences ◽

10.3923/jas.2012.793.797 ◽

2012 ◽

Vol 12 (8) ◽

pp. 793-797 ◽

Author(s):

E. Babolian ◽

A.R. Vahidi ◽

Z. Azimzadeh

Keyword(s):

Differential Equations ◽

Perturbation Method ◽

Decomposition Method ◽

Homotopy Perturbation Method ◽

Nonlinear Differential Equations ◽

Homotopy Perturbation ◽

Adomian’S Decomposition Method

Download Full-text