Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

E Hetmaniok, D Słota, T Trawiński, R Wituła - Numerical Algorithms, 2014 - Springer
The paper presents an application of the homotopy analysis method for solving the
nonlinear and linear integral equations of the second kind. In this method a series is created …

[HTML][HTML] Discrete homotopy analysis method for the nonlinear Fredholm integral equations

T Allahviranloo, M Ghanbari - Ain Shams Engineering Journal, 2011 - Elsevier
Recently, Behiry et al.(in press)[8] have introduced a discretized version of the Adomian
decomposition method, namely “Discrete Adomian Decomposition Method (DADM)”, for …

[HTML][HTML] An operational approach with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations

A Khani, S Shahmorad - Scientia Iranica, 2012 - Elsevier
In this paper we extend the operational Adomian–Tau method with Pade approximant for the
numerical solution of non-linear Fredholm integro-differential equations. To this end, we will …

Analytical solution of Volterra–Fredholm integral equations using hybrid of the Method of contractive mapping and Parameter continuation method

K Van Ninh, NT Binh - International Journal of Applied and Computational …, 2019 - Springer
In this paper, an analytical method is proposed to solve Volterra–Fredholm integral
equations. The method is based on a hybrid of the method of contractive mapping and …

Órbitas periódicas en sistemas dinámicos y el Método de Análisis Homotópico

RP Cobiaga - 2024 - repositoriodigital.uns.edu.ar
En esta tesis, profundizamos en la exploración y análisis de soluciones periódicas de
ecuaciones diferenciales ordinarias y con retardo, aprovechando el potencial del Método de …

Numerical Solution of an Interval-Based Uncertain SIR (Susceptible–Infected–Recovered) Epidemic Model by Homotopy Analysis Method

EA Bakare, S Chakraverty, R Potucek - Axioms, 2021 - mdpi.com
This work proposes an interval-based uncertain Susceptible–Infected–Recovered (SIR)
epidemic model. The interval model has been numerically solved by the homotopy analysis …

[PDF][PDF] Discrete Adomian Decomposition Solution of Nonlinear Mixed Integral Equation

FA Hendi, HO Bakodah - Science, 2011 - kau.edu.sa
The main purpose of this paper is to use discrete Adomian decomposition method for
solving mixed nonlinear Volterra-Fredholm integral equations of the second kind. This …