Author
Saeid Abbasbandy
Other affiliations: Islamic Azad University, Science and Research Branch, Tehran, Quaid-i-Azam University, Islamic Azad University of Karaj ...read more
Bio: Saeid Abbasbandy is an academic researcher from Imam Khomeini International University. The author has contributed to research in topics: Homotopy analysis method & Fuzzy logic. The author has an hindex of 67, co-authored 385 publications receiving 15194 citations. Previous affiliations of Saeid Abbasbandy include Islamic Azad University, Science and Research Branch, Tehran & Quaid-i-Azam University.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the homotopy analysis method (HAM) is compared with the numerical and HPM in the heat transfer file and the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of solution series.
643 citations
TL;DR: This paper introduces a new approach for ranking of trapezoidal fuzzy numbers based on the left and the right spreads at some @a-levels of Trapezoid fuzzy numbers.
Abstract: Ranking fuzzy numbers plays an very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques have been shown to produce non-intuitive results in certain cases. In this paper, we will introduce a new approach for ranking of trapezoidal fuzzy numbers based on the left and the right spreads at some @a-levels of trapezoidal fuzzy numbers. The calculation of the proposed method is far simpler and easier. Finally, some comparative examples are used to illustrate the advantage of the proposed method.
407 citations
TL;DR: The modified Adomian decomposition method is applied to construct the numerical algorithms based on Newton-Raphson method and some numerical illustrations are given to show the efficiency of algorithms.
348 citations
TL;DR: In this article, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota-Satsuma coupled KdV equation, which provides a simple way to adjust and control the convergence region of solution series.
334 citations
TL;DR: In this article, the solutions of fuzzy fractional differential equations (FFDEs) under Riemann-Liouville H-differentiability by fuzzy Laplace transforms are studied.
298 citations
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Journal Article•
28,685 citations
01 Jan 2015
3,828 citations
TL;DR: In this paper, a survey of recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones, is presented.
Abstract: This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional perturbation methods are illustrated, various modied perturbation techniques are proposed, and some mathematical tools such as variational theory, homotopy technology, and iteration technique are introduced to overcome the shortcomings. In this paper the following categories of asymptotic methods are emphasized: (1) variational approaches, (2) parameter-expanding methods, (3) parameterized perturbation method, (4) homotopy perturbation method (5) iteration perturbation method, and ancient Chinese methods. The emphasis of this article is put mainly on the developments in this eld in China so the references, therefore, are not exhaustive.
2,135 citations
1,524 citations