The Experts below are selected from a list of 16968 Experts worldwide ranked by ideXlab platform
Farzad Khani - One of the best experts on this subject based on the ideXlab platform.
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the homotopy analysis method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an Analytical technique, namely the homotopy analysis method (HAM) is applied to obtain an Approximate Analytical Solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy analysis method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of Solution series.
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the homotopy analysis method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an Analytical technique, namely the homotopy analysis method (HAM) is applied to obtain an Approximate Analytical Solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy analysis method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of Solution series.
A. Molabahrami - One of the best experts on this subject based on the ideXlab platform.
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the homotopy analysis method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an Analytical technique, namely the homotopy analysis method (HAM) is applied to obtain an Approximate Analytical Solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy analysis method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of Solution series.
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the homotopy analysis method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an Analytical technique, namely the homotopy analysis method (HAM) is applied to obtain an Approximate Analytical Solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy analysis method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of Solution series.
L Rajendran - One of the best experts on this subject based on the ideXlab platform.
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the Approximate Analytical Solution of non linear equation for simultaneous internal mass and heat diffusion effects
Natural Science, 2016Co-Authors: Mayathevar Renugadevi, Saminathan Sevukaperumal, L RajendranAbstract:For the first time a mathematical modelling of porous catalyst particles subject to both internal mass concentration gradients as well as temperature gradients, in endothermic or exothermic reactions has been reported. This model contains a non-linear mass balance equation which is related to rate expression. This paper presents an Approximate Analytical method (Modified Adomian decomposition method) to solve the non-linear differential equations for chemical kinetics with diffusion effects. A simple and closed form of expressions pertaining to substrate concentration and utilization factor is presented for all value of diffusion parameters. These Analytical results are compared with numerical results and found to be in good agreement.
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Approximate Analytical Solution for non linear reaction diffusion equations in a mono enzymatic biosensor involving michaelis menten kinetics
Journal of Electroanalytical Chemistry, 2015Co-Authors: O M Kirthiga, L RajendranAbstract:Abstract Here we consider the case where the enzyme reacts with an electroinactive substrate to produce an electroactive product which is quickly oxidized or reduced at the electrode/film interface. This model is based on the system of non-linear reaction diffusion equations containing a nonlinear term related to the Michaelis Menten kinetic of the enzymatic reaction. In this paper the powerful Analytical method, called the recent approach of Homotopy analysis method is applied to solve the non-linear reaction diffusion equations in amperometric biosensors. A simple and closed-form of Analytical expression for concentrations of substrate, product and corresponding current response in the case of an enzyme immobilized into a planar film onto an electrode have been derived. The effect of various parameters on current density is discussed. Numerical simulation (Matlab) for the concentration profile for non-steady state condition was carried out and compared with the Analytical results. A satisfactory agreement is noted. A graphical procedure for estimating the kinetic parameters and sensitivity analysis of the parameters from current density is suggested.
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Analytical Solution of lorenz equation using homotopy analysis method
Journal of Global Research in Mathematical Archives(JGRMA), 2013Co-Authors: P Brindha, M Rasi, L RajendranAbstract:In this study, a dynamical system of Lorenz equation is discussed. The main aim of this paper is to describe the nonlinear dynamics for the better understanding in biomedical field. Approximate Analytical Solution of Lorenz equation is obtained by using the Homotopy analysis method (HAM). Furthermore, in this work the numerical simulation of the problem is also reported using Scilab/Matlab program. An agreement between Analytical and numerical results is noted.
Jihuan He - One of the best experts on this subject based on the ideXlab platform.
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a lagrangian for von karman equations of large deflection problem of thin circular plate
Applied Mathematics and Computation, 2003Co-Authors: Jihuan HeAbstract:By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an Approximate Analytical Solution of the problem. First order Approximate Solution is obtained, which is similar to those in open literature. By Mathematica a more accurate Solution can be deduced.
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Approximate Analytical Solution for seepage flow with fractional derivatives in porous media
Computer Methods in Applied Mechanics and Engineering, 1998Co-Authors: Jihuan HeAbstract:Abstract In this paper, a new and more exact model for seepage flow in porous media with fractional derivatives has been proposed, which has modified the well-known Darcy law and overcome the continuity assumption of seepage flow. A new kind of Analytical method of nonlinear problem called the variational iteration method is described and used to give Approximate Solutions of the problem. The results show that the proposed iteration method, requiring no linearization or small perturbation, is very effective and convenient.
Xiaolian Chen - One of the best experts on this subject based on the ideXlab platform.
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Approximate Analytical Solution for non darcian flow toward a partially penetrating well in a confined aquifer
Journal of Hydrology, 2013Co-Authors: Zhang Wen, Kai Liu, Xiaolian ChenAbstract:Summary In this study, non-Darcian flow to a partially penetrating well in a confined aquifer was investigated. The flow in the horizontal direction was assumed to be non-Darcian, while the flow in the vertical direction was assumed to be Darcian. The Izbash equation was employed to describe the non-Darcian flow in the horizontal direction of the aquifer. We used a linearization procedure to Approximate the non-linear term in the governing equation enabling the mathematical model to be solved using a combination of Laplace and Fourier cosine transforms. Approximate Analytical Solutions for the drawdown were obtained and the impacts of different parameters on the drawdown were analyzed. The results indicated that a larger power index n in the Izbash equation leads to a larger drawdown at early times, while a larger n results in a smaller drawdown at late times. The drawdowns along the vertical direction z are symmetric if the well screen is located in the center of the aquifer, and the drawdown at the center of the aquifer is the largest along the vertical direction for this case. The length of the well screen w has little impact on the drawdown at early times, while a larger length of the well screen results in a smaller drawdown at late times. The drawdown increases with K r at early times, while it decreases as K r increases at late times, in which K r is the apparent radial hydraulic conductivity. A sensitivity analysis of the parameters, i.e., the specific storage S s , w , n and K r , indicated that the drawdown is not sensitive to them at early times, while it is very sensitive to these parameters at late times especially to the power index n .