[PDF] Top 20 Analytic approximate solution for the KdV equation with the homotopy analysis method
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Analytic approximate solution for the KdV equation with the homotopy analysis method
... This method has been applied successfully to many nonlinear problems in engineering and science, such as the magnetohydrodynamics flows of non-Newtonian fluids over a stretching sheet [6], boundary-layer flows ... See full document
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A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry Dym (HD) Equation
... pulse solution of nonlinear partial differential equations (NPDEs) [2] ...(KdV) equation (see ...Harry-Dym equation, Popowicz [6] ge- neralized this equation by the Lax and Hamiltonian ... See full document
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ALGORITHM FOR SOLVING A GENERALIZED HIROTA-SATSUMA COUPLED KDV EQUATION USING HOMOTOPY PERTURBATION TRANSFORM METHOD
... the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation using ...function method by Yu et al. (2005), the projective Riccati ... See full document
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Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation
... the homotopy perturbation method [1-7], the variational it- eration method [8-22] and the domain decomposition method ...perturbation method can be found in [24]. Improved ... See full document
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Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
... cessfully applied to solve several fractional differential equations modeling problems arising in science and en- gineering by many authors [6-18] and the references therein. In this paper, we will apply the HAM to frac- ... See full document
5
Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques
... powerful analytic method for nonlinear problem, namely the homotopy perturbation ...The solution of the boundary value problems has been obtained in term of convergent series with easily ... See full document
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AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD
... residual method” and try to obtain approximate progressive wave solutions to some nonlinear evolution ...conventional KdV and the nonlinear Schr¨ odinger equa- tions, for the illustration of the ... See full document
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An approximate analytical solution of the fractional multi dimensional Burgers equation by the homotopy perturbation method
... Burgers equation is described in ...Burgers equation and the conver- gence analysis of the HPM are established in ...analytical solution for the fractional multi-dimensional Burgers ... See full document
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Online Full Text
... the Homotopy Perturbation Method (HPM) to develop an approximate analytical solution for a Fuzzy Partial Differential Equations ...The method is applied to calculate the solution ... See full document
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The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
... the homotopy analysis method (HAM) is employed to compute an approximate and analytical solution of the model in fractional ...Runge-Kutta method and nonstandard numerical ... See full document
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An analytical approach for the nonlinear forced vibration of clamped-clamped buckled beam
... paper Homotopy analysis method and Homotopy Pade technique which are approximate analytical methods, are used to obtain nonlinear forced vibration response of Euler-Bernoulli ... See full document
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A Solution of Boussinesq's equation for infiltration phenomenon in unsaturated porous media by Homotopy Analysis Method
... The equation (30) represents height of infiltrated groundwater H X T , for any distance X and time T > 0 using Homotopy Analysis ...exact solution for 0 X 1 ,and 0 T 1 ...the ... See full document
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method
... related method for finding an analytic approximation to the exact solution to a nonlinear problem is the homotopy perturbation method (HPM) that was intro- duced by He in 1998 (see [18] ... See full document
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Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
... this equation by employing analytical methods [5, 15, 20, ...Symmetry analysis plays a fundamental role in the construction of the analytical and exact so- lutions of the differential equations [3, 7, 8, ... See full document
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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... reasonably approximate the exact solutions. Homotopy perturbation method is such method which is straightforward and convenient for both linear and non linear ...differential equation ... See full document
7
A Single Convergent Control Parameter Optimal Homotopy Asymptotic Method Approximate-Analytical Solution of Fuzzy Heat Equation
... order solution with single control parameter have been applied to solve Fuzzy Heat equation with fuzzy initial ...heat equation with the given initial condition, and 0 < 𝑥 < 1 , 0 < 𝑡 < ... See full document
6
Analysis of fractional partial differential equations by Taylor series expansion
... the analytic or approximate solution of fractional differential equations (FDEs) by using respectively the analytic or approximate solution of the differential equation, ... See full document
12
An approximate solution of fractional cable equation by homotopy analysis method
... cable equation by treating the neuron and its membrane as two separate materials governed by separate fractional Nernst-Planck ...cable equation includes two Riemann- Liouville fractional ... See full document
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Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)
... The homotopy analysis method is developed in 1992 by Liao ...series solution of linear and nonline arpartial differential ...this method is independent of small/large physical ...series ... See full document
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Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
... Non-linear techniques for solving linear and non-linear problems have been dominated by the perturbation me- thods, which have found wide applications in engineer- ing. But, like other non-linear analytical techniques, ... See full document
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