q-homotopy analysis method (q-HAM)
Solving The K(2,2) Equation By Means Of The Q-Homotopy Analysis Method (Q-Ham)
... the Homotopy perturbation method (HPM) [11], Luapanov’s artificial small parameter method[21], Adomian decomposition method [2,25], variation iterative method [22,28] and so ...on. ...
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Series Solutions Of Fractional Initial-Value Problems By Q-Homotopy Analysis Method
... decomposition method [5,57], variational iteration method [24,56], differential transform method [8,17],Laplace decomposition method [31,59], homotopy perturbation method ...
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Solution of Burger's Equation in a One-Dimensional Groundwater Recharge by Spreading Using q-Homotopy Analysis Method
... Abstract. The ground water is recharged by spreading of the water in downward direction and the moisture content of soil increases. The mathematical formulation of the phenomena leads to the gov- erning equation, which ...
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Vol 8, No 8 (2017)
... transform method [6, 7, 8], Laplace decomposition method [9], homotopy perturbation method [10], variational iteration method [11, 12] and homotopy analysis method ...
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Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method
... This analytical approach is liberated from any physical parameters; HAM is strong enough that its efficiency will not affect whether a nonlinear equation contains small physical parameter or large. Equations like (11) ...
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The combined of Homotopy analysis method with new transform for nonlinear partial differential equations
... (1 −q)A[φ ( κ , τ; p)−φ ( κ , τ; 0) = phH( κ , τ)N[φ ( κ , τ; p)], (3.6) where p is an embedding parameter and p ∈ [0, 1], H( κ , τ) 6= 0 is an auxiliary function, h 6= 0 is an auxiliary parameter, A is an ...
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Analysis of the new homotopy perturbation method for linear and nonlinear problems
... new homotopy perturbation technique is proposed to find the solution u(x, y) based on the decomposition of a right-hand side function f (x, y) which leads to the construction of new ...proposed method is ...
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A two parameter mathematical model for immobilizedenzymes and Homotopy analysis method
... The HAM provides an analytical solution in terms of an infinite power series. However, there is a practical need to evaluate this solution and to obtain numerical values from the infinite power series. The consequent ...
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Analytic approximate solution for the KdV equation with the homotopy analysis method
... the homotopy analysis method (HAM) as proposed in [4, 5] is applied to obtain the solitary solution of the KdV ...in analysis between HAM and other ...the homotopy analysis ...
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Application of Homotopy Analysis Method for Solving an SEIRS Epidemic Model
... their analysis, they found out that the reproduction ratio is greater than 0, which implies that the force of malaria infection in Taraba North Senatorial Zone is ...
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Effective Calculation of Multiple Solutions of Mixed Convection in a Porous Medium
... proposed method is not only to predict existence of multiple solutions, but also to calculate all branches of solutions effectively by onely using one initial approximation guess, one auxiliary function and one ...
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An approximate solution of fractional cable equation by homotopy analysis method
... Here, we will use the HAM, which is an approximate solution to solve this equation. The HAM method was developed in by Liao in []. This method has been successfully applied by many authors [–]. ...
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Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
... by homotopy analysis method (HAM). The method includes an auxiliary parameter which provides a convenient way of adjusting and controlling the convergence region of the series ...
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The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
... optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher ...the method will be shown by solving some examples of ...
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On numerical solutions of fuzzy differential equations
... Euler method, Homotopy Analysis Method (HAM), and Adomian Decomposition Method (ADM) are discussed; this is followed by an error ...
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Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model
... We did not aim to investigate the accuracy of the HPM and to estimate the errors of approximation. We simply showed that this method can be used with good results where it is impossible to solve the cosmological ...
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Study on Approximate Solution of Fractional Order Biological Population Model
... Transform method (DTM) [11],[12],[13], Adomian Decomposition method (ADM) [14],[15],[16], Homotopy Perturbation method (HPM) [17],[18],[19], Variational Iteration method (VIM) ...
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Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem
... Abstract This work presented here is the solution of the one-dimensional Bratus problem. The nonlinear Bratus problem is first linearised using the quasi-linearization method and then solved by the spectral ...
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New Solution of Substrate Concentration in the Biosensor Response by Discrete Homotopy Analysis Method
... The main focus of this paper is on amperometric bio- sensor at mixed enzyme kinetics and diffusion limitation by utilizing DHAM as a powerfull method. Non-Micha- elis-Menten kinetics of the enzymatic reaction is ...
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A Modified Homotopy Analysis Method for Solving Boundary Layer Equations
... A new modification of the Homotopy Analysis Method (HAM) is presented for highly nonlinear ODEs on a semi-infi- nite domain. The main advantage of the modified HAM is that the number of terms in the ...
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