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

Application of He’s homotopy perturbation method to functional integral equations

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.10.069 ◽

2007 ◽

Vol 31 (5) ◽

pp. 1243-1247 ◽

Author(s):

S. Abbasbandy

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Functional Integral ◽

Homotopy Perturbation ◽

Functional Integral Equations

Download Full-text

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

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

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

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

New Homotopy Perturbation Method for a Special Kind of Volterra Integral Equations in Two-Dimensional Space

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9214-x ◽

2013 ◽

Vol 25 (1) ◽

pp. 135-148 ◽

Author(s):

Mostafa Eslami

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Dimensional Space ◽

Special Kind ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation

Download Full-text

Numerical method for solving two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations

10.1063/5.0041601 ◽

2021 ◽

Author(s):

Atanaska Georgieva ◽

Iva Naydenova

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Functional Integral ◽

Two Dimensional ◽

Functional Integral Equations

Download Full-text

Laplace Transform Homotopy Perturbation Method for the Two Dimensional Black Scholes Model with European Call Option

Mathematical and Computational Applications ◽

10.3390/mca22010023 ◽

2017 ◽

Vol 22 (1) ◽

pp. 23 ◽

Author(s):

Kamonchat Trachoo ◽

Wannika Sawangtong ◽

Panumart Sawangtong

Keyword(s):

Laplace Transform ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Two Dimensional ◽

Call Option ◽

Homotopy Perturbation ◽

European Call Option ◽

Black Scholes Model ◽

Download Full-text

A Numerical Algorithm for Solving Nonlinear Delay Volterra Integral Equations by Means of Homotopy Perturbation Method

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2011.061 ◽

2011 ◽

Vol 12 (1-8) ◽

Author(s):

Solat Karimi Vanani ◽

Ahmet Yıldırım ◽

F. Soleymani ◽

M. Khan

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Numerical Algorithm ◽

Homotopy Perturbation Method ◽

Volterra Integral Equations ◽

Homotopy Perturbation ◽

Nonlinear Delay

Download Full-text

Numerical solution of Fredholm-Hammerstein integral equations by using optimal homotopy asymptotic method and homotopy perturbation method

10.1063/1.4887570 ◽

2014 ◽

Author(s):

Mohammad Almousa ◽

Ahmad Izani Ismail

Keyword(s):

Perturbation Method ◽

Numerical Solution ◽

Integral Equations ◽

Asymptotic Method ◽

Homotopy Perturbation Method ◽

Hammerstein Integral Equations ◽

Homotopy Perturbation ◽

Optimal Homotopy Asymptotic Method

Download Full-text