[PDF] Top 20 A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method
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A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method
... AX B (1) Matrix equations are arisen in control theory, signal processing, model reduction, image restoration, ordinary and partial differential equations and several applications in science and ... See full document
8
Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations
... The linear and nonlinear Schrodinger equation is an example of a universal linear and nonlinear model that describes many physical ...The equation can be applied tohydrodynamics,optics, ... See full document
5
A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... The homotopy analysis method (HAM) was proposed by ...this method, the solution is considered as the summation of an infinite series, which usually converges rapidly to the exact ...on ... See full document
6
On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method
... the Homotopy Perturbation Method (HPM) which is a semi-analytical method was first pioneered by He ...the method is applied by He [2] to solve the non-linear ... See full document
10
APPLICATION OF THE HOMOTOPY PERTURBATION METHOD (HPM) AND VARIATIONAL ITERATION METHOD (VIM) TO GAS DYNAMIC EQUATION
... differential equation. The aim of the present paper is to implement the homotopy perturbation and variational iteration methods [1220] for the homogeneous gas dynamics equations to an ... See full document
8
HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism
... traditional perturbation methods. For instance, the method does not need a small parameter or linearization, in fact, only requires less iteration to obtain highly accurate ...This method has been ... See full document
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Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model
... weak-field approximation in General Relativity [1, 2], the slow-roll approximation in inflationary cosmology [3, 4] ...basic equation governing dynamics of the cosmic evolution is known as the ... See full document
5
Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
... a new method proposed by some au- thors new for solving optimal control problem based on Pontryagin’s maximum principle or Hamilton-Jacobi- Bellman equation, such as the relaxed descent ... See full document
8
Modified homotopy perturbation method for solving non-linear oscillator's equations
... a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact ...differential equation oscillations ... See full document
7
Application of Different H(x) in Homotopy Analysis Methods for Solving Systems of Linear Equations
... of linear and nonlinear equations has widespread applications in ap- plied mathematics ...including homotopy perturbation method (HPM) [12] and iterative methods [13] were suggested to search ... See full document
9
Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... develop new techniques for obtaining analytical solutions which reasonably approximate the exact ...solutions. Homotopy perturbation method is such method which is straightforward and ... See full document
7
Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel
... of equation; such methods include the Adomian decomposition method 9–12, the homotopy perturbation method HPM 13–24, and the variational iteration method VIM ...both ... See full document
12
He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations
... He’s Homotopy perturbation method of solving linear and non-linear Fredholm Integro-Differential Equation and conducted a comparative study between He’s Homotopy ... See full document
8
Analysis of the new homotopy perturbation method for linear and nonlinear problems
... a, b, g and f are continuous functions in some region of the plane and g() = ...the homotopy perturbation method, we obtain an approximate or exact solution u(x, ...operator S defined ... See full document
11
Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation
... the Homotopy Perturbation Method for Finding the Travelling Wave Solutions of Generalized Nonlinear Hi- rota-Satsuma Coupled KdV Equations,” International Journal of Nonlinear, Science, ... See full document
7
Solution of fuzzy differential equations
... predictor-corrector method in the setting of Hukuhara or Seikkala ...Adams-Bashforth method and Adams-Moulton method. In case I:, the method implemented in this paper gives better approxima- ... See full document
8
Analytical approximate solution of leptospirosis epidemic model with standard incidence rate
... He’s homotopy per- turbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differential equations governing on the ... See full document
13
A New Approach Towards Laplace Homotopy Perturbation Method
... LHPM [16-17] in a new form. The approach is applied to highly nonlinear diffusion and wave equations [11] involving logarithmic and exponential nonlinearity and obtained satisfactory results. Even for third order ... See full document
11
Equivalence of ( A D M, H P M, A P M ) for Solving Functional Equations
... decomposition method and each in homogeneous part of these linear functional equations gives Adomian polynomials ...decomposition method for problem (1) assumes a series solution for u, say ... See full document
5
Application of He's homotopy perturbation method for solving Sivashinsky equation
... proposed method (HPM) have been compared and verified with that obtained by Adomians decomposition ...that homotopy perturbation method is powerful mathematical tool for solutions of nonlinear ... See full document
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