Results 1 to 10 of about 835 (135)
Results in Physics, 2016 The main aim of this paper is to propose a new and simple algorithm namely the optimal q-homotopy analysis method (Oq-HAM), to obtain approximate analytical solutions of the convection diffusion (CD) equation.
Mohamed S. Mohamed, Yasser S. Hamed
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Propulsion and Power Research, 2018 Analytical and numerical analyses have performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates approaching or receding from each other symmetrically.
M.R. Shirkhani +4 more
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
Ain Shams Engineering Journal, 2018 In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives
International Journal of Differential EquationsThis article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors,
B. Radhakrishnan +2 more
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A new approach for solving nonlinear system of equations using Newton method and HAM [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 A new approach utilizing Newton Method and Homotopy Analysis Method (HAM) is proposed for solving nonlinear system of equations. Accelerating the rate of convergence of HAM, and obtaining a global quadratic rate of convergence are the main purposes of ...
Jalal Izadian +2 more
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Frontiers in Earth Science, 2023 Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
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Solution of the Davey–Stewardson equation using homotopuy analysis method
Nonlinear Analysis, 2010 In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been
H. Jafari, M. Alipour
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Journal of Applied Mathematics, 2013 We introduce two powerful methods to solve the Davey-Stewartson equations: one is the homotopy perturbation method (HPM) and the other is the homotopy analysis method (HAM). HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison
Hassan A. Zedan, W. Barakati, Nada Hamad
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Abstract and Applied Analysis, 2012 We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
Hassan A. Zedan, Eman El Adrous
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An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation [PDF]
Computational Ecology and Software, 2017 In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution.
H.A. Wahab +2 more
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