A modified constraint shifting homotopy method for solving general nonlinear multiobjective programming

Homotopy Interior-Point Method for a General Multiobjective Programming Problem

The modified homotopy perturbation method for solving strongly nonlinear oscillators

In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy perturbation method (MHPM) utilizes an alternative framework to capture the periodic behavior of the solution, which is characteristic of oscillator equations, and to give a ...

Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

Homotopy method for solving fuzzy nonlinear equations

In this paper, we introduce the numerical solution for a fuzzy nonlinear systems by homotopy method. The fuzzy quantities are presented in parametric form. Some numerical illustrations are given to show the efficiency of algorithms. M.S.C. 2000: 34A12, 65L05.

Homotopy Method for a General Multiobjective Programming Problem under Generalized Quasinormal Cone Condition

and Applied Analysis 3 Recently, Song and Yao 14 generalize the combined homotopy interior point method to the general multi-objective programming problem under the so-called normal cone condition instead of the convexity condition about the feasible set. In that paper, they proved the existence of the homotopy path under the following assumptions: A1 Ω0 is nonempty and bounded; A2 for all x ∈ ...