Homotopy analysis method

Gyrotactic bioconvection stratified flow of magnetized micropolar nanoliquid configured by stretchable radiating surface with Joule heating and viscous dissipation

M. Waqas, Muhammad Sadiq, Haitham M. S. Bahaidarah

Citations: 41 • 2022

Exploring collision-free path planning by using homotopy continuation methods

Héctor Vázquez-Leal, Antonio Marı́n-Hernández, Yasir Khan, Ahmet Yıldırım, U. Filobello-Nino, R. Castañeda-Sheissa, V. M. Jiménez-Fernández

Citations: 38 • 2013

Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

Mohammad Javidi, Bashir Ahmad

Citations: 35 • 2013

Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method

Pedram Khaneh Masjedi, Paul M. Weaver

Citations: 30 • 2021

Search-Based Path Planning with Homotopy Class Constraints in 3D

Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kumar

Citations: 24 • 2021

The inverse kinematics problem of spatial 4P3R robot manipulator by the homotopy continuation method with an adjustable auxiliary homotopy function

Tzong-Mou Wu

Citations: 22 • 2005

Analysis of Nonlinear Convection–Radiation in Chemically Reactive Oldroyd-B Nanoliquid Configured by a Stretching Surface with Robin Conditions: Applications in Nano-Coating Manufacturing

Muhammad Nasir, M. Waqas, O. Anwar Bég, Hawzhen Fateh M. Ameen, Nurnadiah Zamri, Kamel Guedri, Sayed M. Eldin

Citations: 14 • 2022

Searching All the Roots of Inverse Kinematics Problem of Robot by Homotopy Continuation Method

Tzong-Mou Wu

Citations: 14 • 2005

A modified homotopy optimization for parameter identification in dynamic systems with backlash discontinuity

Borna Ghannadi, Reza Sharif Razavian, John McPhee

Citations: 14 • 2018

Kinematics of the Gough-Stewart Platform by Means of the Newton-homotopy Method

Jaime Gallardo-Alvarado, Luis A. Alcaraz

Citations: 10 • 2018

A new development of homotopy continuation method, applied in solving nonlinear kinematic system of equations of parallel mechanisms

Amir Salimi Lafmejani, Ahmad Kalhor, Mehdi Tale Masouleh

Citations: 8 • 2015

Implementing the homotopy continuation method in a hybrid approach to solve the kinematics problem of spatial parallel robots

Naser Mostashiri, Alireza Akbarzadeh, Amir Rezaei

Citations: 6 • 2017

Direct kinematics of a three revolute-prismatic-spherical parallel robot using a fast homotopy continuation method

Aghil Yousefi‐Koma, Seyed Saeid Mohtasebi

Citations: 5 • 2016

Alternative Methods for Direct Kinematic Analysis of a Parallel Robot for Ankle Rehabilitation

Erick D. Flores-Salazar, Manuel Arias‐Montiel, Esther Lugo‐González, Jaime Gallardo-Alvarado, Ricardo Tapia-Herrera

Citations: 4 • 2020

Homotopy Perturbation Method Applied to Fractional-order Nonlinear Partial Differential Equations

Bana Ali Raba, Fadime Dal

Citations: 1 • 2024