Search Results - "Abbasbandy, S"

The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation by Abbasbandy, S.

“…Here, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong…”
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Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method by Abbasbandy, S.

“…In this paper, the homotopy analysis method (HAM), one of the most effective method, is applied to obtain the approximate solution of the nonlinear model of…”
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A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials by Abbasbandy, S.

“…In this paper, the quadratic Riccati differential equation is solved by He's variational iteration method with considering Adomian's polynomials. Comparisons…”
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Fractional-order Legendre functions for solving fractional-order differential equations by Kazem, S., Abbasbandy, S., Kumar, Sunil

“…In this article, a general formulation for the fractional-order Legendre functions (FLFs) is constructed to obtain the solution of the fractional-order…”
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Soliton solutions for the Fitzhugh–Nagumo equation with the homotopy analysis method by Abbasbandy, S.

“…An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the Fitzhugh–Nagumo equation. The homotopy analysis…”
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Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method by Abbasbandy, S.

“…In this paper, we present some efficient numerical algorithms for solving nonlinear equations based on Newton–Raphson method. The modified Adomian…”
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Homotopy analysis method for heat radiation equations by Abbasbandy, S.

“…Here, the homotopy analysis method (HAM), one of the newest analytical methods which is powerful and easy-to-use, is applied to solve heat transfer problems…”
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Numerical solutions of the integral equations: Homotopy perturbation method and Adomian’s decomposition method by Abbasbandy, S.

“…In this paper, a homotopy perturbation method is proposed to solve non-singular integral equations. Comparisons are made between Adomian’s decomposition method…”
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Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian’s decomposition method by Abbasbandy, S.

“…In this paper, a homotopy perturbation method is proposed to solve quadratic Riccati differential equation. Comparisons are made between Adomian’s…”
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Homotopy analysis method for the Kawahara equation by Abbasbandy, S.

“…The homotopy analysis method (HAM) is used to find a family of travelling-wave solutions of the Kawahara equation. This approximate solution, which is obtained…”
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A new approach for ranking of trapezoidal fuzzy numbers by Abbasbandy, S., Hajjari, T.

“…Ranking fuzzy numbers plays an very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been…”
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Solving fuzzy fractional differential equations by fuzzy Laplace transforms by Salahshour, S., Allahviranloo, T., Abbasbandy, S.

“…► Fuzzy fractional H-differentiability is provided. ► The fuzzy Laplace transform of fuzzy fractional derivatives is obtained. ► Some new basic properties of…”
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An approximation solution of a nonlinear equation with Riemann–Liouville's fractional derivatives by He's variational iteration method by Abbasbandy, S.

“…In this article, an application of He's variational iteration method is proposed to approximate the solution of a nonlinear fractional differential equation…”
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Iterated He’s homotopy perturbation method for quadratic Riccati differential equation by Abbasbandy, S.

“…In this paper, iterated He’s homotopy perturbation method is proposed to solving quadratic Riccati differential equation. Comparisons are made between…”
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Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition by Ellahi, R, Shivanian, E, Abbasbandy, S, Hayat, T

“…Purpose – The purpose of this paper is to study the generalized Couette flow of Eyring-Powell fluid. The paper aims to discuss diverse issues befell for the…”
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Solitary wave solutions to the Kuramoto–Sivashinsky equation by means of the homotopy analysis method by Abbasbandy, S.

“…The homotopy analysis method (HAM) is used to find a family of solitary solutions of the Kuramoto–Sivashinsky equation. This approximate solution, which is…”
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Explicit solutions of fractional differential equations with uncertainty by Allahviranloo, T., Salahshour, S., Abbasbandy, S.

“…We give the explicit solutions of uncertain fractional differential equations (UFDEs) under Riemann–Liouville H -differentiability using Mittag-Leffler…”
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Ranking of fuzzy numbers by sign distance by Abbasbandy, S., Asady, B.

“…Several different strategies have been proposed for ranking of fuzzy numbers. These include methods based on the coefficient of variation (CV index), distance…”
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Soliton solutions for the fifth-order KdV equation with the homotopy analysis method by Abbasbandy, S., Zakaria, F. Samadian

“…An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the fifth-order KdV equation. The homotopy analysis…”
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Solution of the MHD Falkner-Skan flow by homotopy analysis method by Abbasbandy, S., Hayat, T.

“…In this work, an analysis is performed to find the series solution of the boundary layer Falkner-Skan equation for wedge. The boundary layer similarity…”
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