[PDF] Top 20 The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System
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The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System
... time-dependent system TDS describing amplitude distributions over investigated frequency region this region can also be represented by means of related wavelength ... See full document
18
APPLICATION OF THE HOMOTOPY PERTURBATION METHOD (HPM) AND VARIATIONAL ITERATION METHOD (VIM) TO GAS DYNAMIC EQUATION
... of nonlinear problems, especially those having strong nonlinearity, have no small parameters at all and the approximate solutions obtained by the perturbation methods, in most cases, are valid only for ... See full document
8
Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)
... homotopy analysis method is developed in 1992 by Liao ...series solution of linear and nonline arpartial differential ...other perturbation methods is that this method is independent of ... See full document
8
Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations
... singular perturbation parameter and interior layers due to the presence of the delay ...the solution of these problems exhibit propagat- ing discontinuities depending on the nature of the ...delay ... See full document
14
Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method
... homotopy perturbation method is successfully applied to solve the nonlinear ordinary differential equations governing the motion of a coupled spring ...The solution obtained by Homotopy ... See full document
14
Controllability for Variational Inequalities of Parabolic Type with Nonlinear Perturbation
... In this paper, we no longer require the compact property in 1, the uniform boundedness in 2, and the inequality constraint on the range condition of the controller B, but instead we need the regularity and a variation of ... See full document
16
Periodic Solution For Nonlinear System Of Differential Equations Depending On The Probability Density Function Of Gamma Distribution
... Ordinary differential equations theory and application, Britain, ...Numerical Solution of boundary value problem for ordinary differential equations, SIAM, In Applied Mathematics, United of America, ... See full document
14
Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form
... a perturbation distribution to the Cauchy problem for a parabolic system not in divergence form based on comparison method and an asymptotic behavior of a self-similar solution for both slow ... See full document
11
A mathematical modeling and simulation of non linear ordinary differential equations using HPM
... The system of nonlinear ordinary differential equation is investigated in various aspects ...approximate solution and they will study about the x, y and z like free load ...Homotopy ... See full document
5
Periodic solutions of nonlinear finite difference systems with time delays
... of parabolic boundary value ...to system of reaction-diffusion type of equations with specific reaction functions ...for parabolic initial boundary value problem with time delay [5,6,7] and without ... See full document
8
An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
... The physical phenomenon of a liquid droplet spreading on a substrate has been stud- ied in many scientific fields. In each case, a common demand is to obtain a relatively accurate numerical model for which the ... See full document
43
HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism
... Homotopy Perturbation Method [9, 10] was proposed by Ji Huan He; it was introduced as a powerful tool to solve various kinds of nonlinear ...known, nonlinear phenomena appear in several scientific ... See full document
7
Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... [5], nonlinear oscillators [6], bifurcation of nonlinear problems [7], bifurcation of delay- differential equations [8], nonlinear wave equations [4] and to other fields ...the solution ... See full document
6
A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... dynamical system approximating the given ...the nonlinear terms, can be computed analytically and stored. Then the system of first order ordinary differential equations with known constant ... See full document
9
New method for the existence and uniqueness of solution of nonlinear parabolic equation
... Some new technique has been used to tackle the existence of solutions of (.); specif- ically, the problem is divided into the following two auxiliary equations: (i) a parabolic equation with Dirichlet boundary ... See full document
18
Numerical solution of parabolic equations by the box scheme
... a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic equations.. Von Neumann stability is shown to hold for the[r] ... See full document
134
Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... [2] Gurhan Gurarslan and Murat Sari 2009 “Numerical solutions of linear and nonlinear diffusion equation by a differential quadrature method” Int. J. Nume. Meth. Biomed. Engg. Vol. 27 Pp-69-77. [3] J.H. He, ... See full document
7
Elimination of Hard-Nonlinearities Destructive Effects in Control Systems Using Approximate Techniques
... a nonlinear phenomenon and when is modeled comprises the ...a nonlinear optimal controller based on the approximate solution of HJB PDE and an adaptive online friction ...utilized nonlinear ... See full document
6
A new positive definite semi-discrete mixed finite element solution for parabolic equations
... ( , ) σ v − ( K v τ , ) = ∀ ∈ 0, v V . (1.3) The plan of this paper is as follows. In Section 2, a new semi-discrete mixed finite element scheme is constructed for parabolic equations. In Section 3, an error ... See full document
6
Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition
... Since the initial data h(x) in () is nonnegative, it is easy to see that the solution u to problem ()-() is nonnegative in O × (, ∞ ) by the parabolic maximum principles [, ]. In Section , we plan ... See full document
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