Results 161 to 170 of about 18,356 (198)
Some of the next articles are maybe not open access.
Optimal Homotopy Asymptotic Method for Solving a Nonlinear Problem in Elasticity
2012 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2012In this paper a homotopy approach, called the optimal homotopy asymptotic method (OHAM) is presented as a new and powerful technique for analytical treatment of a nonlinear problem related to the stress and deformation state of a thin elastic plate. This technique combines the features of the homotopy concept with an efficient computational algorithm ...
Remus-Daniel Ene +3 more
openaire +1 more source
2020
Summary: In this paper, optimal homotopy asymptotic method (OHAM) and multistage optimal homotopy asymptotic (MOHAM) method are applied to find an approximate solution to Abel's integral equation, that is in fact a weakly singular Volterra integral equation. To illustrate these approaches one example is presented. The results confirm the efficiency and
Biazar, Jafar, Montazeri, Roya
openaire +2 more sources
Summary: In this paper, optimal homotopy asymptotic method (OHAM) and multistage optimal homotopy asymptotic (MOHAM) method are applied to find an approximate solution to Abel's integral equation, that is in fact a weakly singular Volterra integral equation. To illustrate these approaches one example is presented. The results confirm the efficiency and
Biazar, Jafar, Montazeri, Roya
openaire +2 more sources
Optimal Homotopy Asymptotic Method
2015The notion of homotopy is an important part of topology and thus of differential geometry. The homotopy continuation method or shortly speaking homotopy was known as early as in the 1930s. Thus, in 1892, Lyapunov [1] introduced the so-called “artificial small parameters method” considering a linear differential equation with variable coefficients in ...
Vasile Marinca, Nicolae Herisanu
openaire +1 more source
Nonlinear optimal control of variable speed wind turbines using optimal homotopy asymptotic method
Wind Engineering : The International Journal of Wind PowerThis paper presents a new nonlinear optimal controller for wind energy conversion systems. This study utilizes a new strategy to solve the Hamilton–Jacobi–Bellman (HJB) equation and design a nonlinear optimal controller for wind turbines.
Arefe Shalbafian, S. Ganjefar
semanticscholar +1 more source
European Journal of Pure and Applied Mathematics
In this paper, we formulate and enhance a robust semi-analytical method, known as the Optimal Homotopy Asymptotic Method (OHAM), for solving Volterra delay integro-differential equations (VDIDEs).
Nidal Anakira +4 more
semanticscholar +1 more source
In this paper, we formulate and enhance a robust semi-analytical method, known as the Optimal Homotopy Asymptotic Method (OHAM), for solving Volterra delay integro-differential equations (VDIDEs).
Nidal Anakira +4 more
semanticscholar +1 more source
Mathematical methods in the applied sciences, 2020
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations.
P. Agarwal +3 more
semanticscholar +1 more source
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations.
P. Agarwal +3 more
semanticscholar +1 more source
2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI), 2021
The majority of strongly nonlinear oscillators of higher fractional order do not have accurate analytical solution. As a result, this work provides an approximate approach, known as the optimal homotopy Asymptotic Method (OHAM) to provide approximate ...
Ghenaiet Bahia, Ouannas Adel
semanticscholar +1 more source
The majority of strongly nonlinear oscillators of higher fractional order do not have accurate analytical solution. As a result, this work provides an approximate approach, known as the optimal homotopy Asymptotic Method (OHAM) to provide approximate ...
Ghenaiet Bahia, Ouannas Adel
semanticscholar +1 more source
The Third Alternative of the Optimal Homotopy Asymptotic Method
2015In this chapter, we consider m = 2 into Eq. 2.29 such that we obtain the second-order approximate solution in the form $$ \overline{u}\left(x,{C}_i\right)={u}_0(x)+{u}_1\left(x,{C}_i\right)+{u}_2\left(x,{C}_i\right) $$ where the terms u0, u1 and u2 are given by the linear differential equations 2.19, 2.20, 2.23, 2.25 and 2.26 respectively or ...
Vasile Marinca, Nicolae Herisanu
openaire +1 more source
JP Journal of Heat and Mass Transfer
The goal of this research paper is to present a new hybrid method based on Laplace transform and optimal homotopy asymptotic method (LT-OHAM) for solving partial differential equations.
Mohammad Almousa +6 more
semanticscholar +1 more source
The goal of this research paper is to present a new hybrid method based on Laplace transform and optimal homotopy asymptotic method (LT-OHAM) for solving partial differential equations.
Mohammad Almousa +6 more
semanticscholar +1 more source
2022
This paper deals with a recent approximate analytical approach of the multistage optimal homotopy asymptotic method (MOHAM) for fractional optimal control problems (FOCPs). In this paper, FOCPs are developed in terms of a conformable derivative operator (CDO) sense.
Oluwaseun O. Okundalaye +2 more
openaire +1 more source
This paper deals with a recent approximate analytical approach of the multistage optimal homotopy asymptotic method (MOHAM) for fractional optimal control problems (FOCPs). In this paper, FOCPs are developed in terms of a conformable derivative operator (CDO) sense.
Oluwaseun O. Okundalaye +2 more
openaire +1 more source