The homotopy analysis method for multiple solutions of nonlinear boundary value problems
By Saeid Abbasbandy, E. Magyari, Elyas Shivanian. 2009
129 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Modeling and Simulation, Organic Chemistry
View Paper: https://www.semanticscholar.org/paper/b01d82d22d6b259d5d165570a7f1e04c0aede42c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Navid Freidoonimehr
- Mohammad Mehdi Rashidi
- Behnam Rostami
- A. Sami Bataineh
- Mohamed El-Sayed Ali
- M. Anwar Hossain
- Zaid M. Odibat
- D. Domiri Ganji
In Modeling and Simulation
- A. Sami Bataineh
- Zaid M. Odibat
- Mohammad Mehdi Rashidi
- Navid Freidoonimehr
- Behnam Rostami
- M. Anwar Hossain
- Mohamed El-Sayed Ali
- Shaher Momani
In Organic Chemistry
Citations in the corpus
- Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow over a Porous Wedge with Thermal Radiation (2014, methodology): “[28] employed HAM for nonlinear boundary value problems.”
- An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials (2015, methodology): “For more details about the applications of the method, the reader is advised to consult the research works presented in [7–36] or the references therein.”
- A new analytical technique to solve Volterra's integral equations (2011, unknown): “(23) For every n, m∈N, n m>k0, we have ‖Sn −Sm‖ = ‖(Sn −Sn−1)+(Sn−1 −Sn−2)+·· ·+(Sm+1 −Sm)‖ ‖(Sn −Sn−1)‖+‖(Sn−1 −Sn−2)‖+· · ·+‖(Sm+1 −Sm)‖ 0‖uk0‖+ 0‖uk0‖+· · ·+ 0‖uk0‖ = 1− n−m 1− 0‖uk0‖ (24)”