[PDF] Top 20 Newton Homotopy Solution for Nonlinear Equations Using Maple14
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Newton Homotopy Solution for Nonlinear Equations Using Maple14
... solving nonlinear problems is homotopy method, which is a global numerical method used in various science and engineering areas (Palancz ...solving nonlinear equations such as the ... See full document
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A new approach for solving nonlinear system of equations using Newton method and HAM
... The organization of the paper is as follows. In Section 2 a concise descrip- tion of the Newton Method, the Homotopy Method are presented. In Section 3 the fundamental of HAM and proposed approach is ... See full document
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A mathematical modelling and analytical solutions of nonlinear differential equations model with using Homotopy Perturbation method
... study, homotopy perturbation method (HPM) was utilized for finding the solution of nonlinear ordinary differential equation of five compartments ...some nonlinear ordinary differential ... See full document
5
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations
... namely homotopy analysis sumudu transform method (HASTM) to solve various linear and nonlinear Fokker-Planck equa- ...The homotopy analysis sumudu transform method is a combined form of the sumudu ... See full document
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MODIFIED ABOODH HOMOTOPY PERTUBATION METHOD FOR SOLVING NONLINEAR GAS DYNAMIC EQUATION
... most nonlinear problems were solved by numerical methods and their improvement led to improvement in analytical ...solve nonlinear problems. Example of such is homotopy perturbation method ... See full document
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Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
... the root of a system of nonlinear equations. However, the method does not converge or fail if the Jacobian matrix is near to zero or singular. Usually Newton’s method is expected to converge with initial ... See full document
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A third order Newton-like Method and its applications
... the Newton- like method for finding the approximate solution of nonlinear operator equations in the setting of Banach ...integral equations, where the first derivative of involved ... See full document
32
An efficient analytical solution for nonlinear vibrations of a parametrically excited beam
... the homotopy-Pade technique were used to obtain an accurate and efficient analytical solution for the nonlinear vibration of a parametrically excited cantilever ...The homotopy-Pade technique ... See full document
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Multi-Step Preconditioned Newton Methods for Solving Systems of Nonlinear Equations
... of nonlinear equations, Newton’s method [1–4] is a classical, well studied procedure that offers quadratic convergence, under suitably mild regularity ...the solution of lower and upper triangular ... See full document
10
AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... Kantorovich L.V., Akilov G.P. (1982). Functional Analysis. Pergamon press Ltd.and Nauka publisher. Karoui A., Jawahdou A. (2010). Existence and approximate L p and contin-uous solutions of nonlinear integral ... See full document
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A mathematical modeling and simulation of non linear ordinary differential equations using HPM
... 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 ...etc. Homotopy perturbation method is ... See full document
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Exact solutions of nonlinear interval Volterra integral equations
... solve nonlinear equations like as finite differ- ence method, finite element method, homotopy analysis method, homotopy perturbation method and variational iteration method and its modification ... See full document
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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 small ... See full document
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Altered Jacobian Newton Iterative Method for Nonlinear Elliptic Problems
... optimal nonlinear solver or the one that we know ...optimal solution of nonlinear equations generated by the discretization of the nonlinear partial differential equation [1; 2; 3; ... See full document
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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... solutions. Homotopy perturbation method is such method which is straightforward and convenient for both linear and non linear ...The homotopy perturbation method is proposed by He in 1998 and was developed ... See full document
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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
Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications
... the solution for three self map- pings in a complete bipolar metric space under a new Caristi type contraction with an ...to homotopy theory and nonlinear integral equations by using ... See full document
13
Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... and nonlinear integral equations by utilizing different techniques, such as Abdou et ...the solution of linear and nonlinear Hammerstien integral equations with continuous kernel and ... See full document
7
Optimal integrated passive/active design of the suspension system using iteration on the Lyapunov equations
... the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov equations due to the passive ...the solution of the nonlinear algebraic Riccati ... See full document
11
New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
... new homotopy perturbation method (iteration scheme) will be employed to solve the nonlinear dynamical problems that arise in thin membrane ...approximate solution may deteriorate for values that are ... See full document
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