[PDF] Top 20 Numerical solution of nonlinear third order Van der Pol oscillator
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Numerical solution of nonlinear third order Van der Pol oscillator
... first order has achieved diverse attention of the researchers community using the models of nonlinear oscillators [1- ...the nonlinear differential equations of ...called oscillator of ... See full document
5
Resonant response functions for nonlinear oscillators with polynomial type nonlinearities
... weakly nonlinear oscillators with polynomial type ...second order nonlinear oscillator. The example of a forced Van der Pol oscillator with an additional cubic ... See full document
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A New Analytical Approach for Solving Van der Pol Oscillator
... of Van der Pol oscillator ...special nonlinear problems. Also, the solution procedure of some methods is laborious and difficult as well as results are not so closed to exact ... See full document
5
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
... by nonlinear equations, it is very difficult to solve nonlinear problems, and in general, it is often more difficult to get an analytic approximation than a numerical one for a given nonlinear ... See full document
5
Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
... the solution of ...approximate solution obtained by using this method can approximate the higher order derivatives of exact solution well; thirdly, we consider the problem in the reproducing ... See full document
19
Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
... the Van der Pol system with added ...using numerical results. Yang [15] et al . studied chaos control in a Van der Pol system with nonlinear force and two forcing ... See full document
13
Stochastic P bifurcation in a bistable Van der Pol oscillator with fractional time delay feedback under Gaussian white noise excitation
... generalized Van der Pol system with the fractional time-delay feedback under additive and multiplicative Gaussian white noise excitations ...by nonlinear jump or large amplitude ...fractional ... See full document
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Numerical Treatment of Nonlinear Third Order Boundary Value Problem
... new numerical method for obtaining smooth approximations to the solution of nonlinear third-order differential equa- tions of the system of form (3) subjected to ...our numerical ... See full document
6
A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method
... der Pol discovered stable oscillations, now known as limit cycles, in electrical circuits employing vacuum ...second order ordinary differential equation with cubic non linearity of Van ... See full document
8
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
... Variation, which δ = u n 0 ; is called a correct function. The solution of the linear problems can be solved in a single iteration step due to the exact identification of the Lagrange multiplier. The principles ... See full document
10
Numerical scheme and dynamic analysis for variable order fractional van der Pol model of nonlinear economic cycle
... fractional van der Pol model (VOFVDPM), where the order of the derivative is replaced by a time-dependent ...fractional order van der Pol model are discovered in ... See full document
11
Bifurcations of the Van der Pol–Duffing Oscillator
... F x ,t = f cos 2 t sin x f cos 2 t sin x w p = w p ,(n =2). The beam response is represented by the bending amplitude at the end of the oscillation period with a dependence on the variable amplitude of the exciting force ... See full document
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Numerical solution of the Falkner Skan equation using third order and high order compact finite difference schemes
... its solution describes the form of an external laminar boundary layer in the presence of an adverse or favourable streamwise pressure ...and third-degree ...a numerical/computational solution ... See full document
13
Numerical solution of neutron density using the explicit third order, third stage stochastic Runge Kutta method
... explicit third order, third stage stochastic Runge-Kutta method for providing a solution to stochastic point kinetic equations for various forms of reactivity, considering one and six groups ... See full document
10
Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations
... DOI: 10.4236/ajcm.2019.92006 69 American Journal of Computational Mathematics several authors. This method was extensively discussed in ([6] [7] [8] [9] [10]) to mention but a few, they developed Linear Multistep Method ... See full document
13
Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions
... following third-order boundary value problem with integral boundary conditions u t ft, ut, u t 0, t ∈ 0, 1; u0 u 0 0, u 1 0 1 gtu tdt, where f ∈ C0, 1 × 0, ∞ × 0, ∞, 0, ∞ and g ∈ C0, 1, 0, ...positive ... See full document
12
Implicit Runge-Kutta Method for Van Der Pol Problem
... [5] Hairer. E, Wanner. G & Nørsett S.P. " Solving Ordinary Differential Equations I, nonstiff problems ", Springer Series in Computational Mathematics 14, DOI 10.1007/978-3-642- 05221-73, © Springer-Verlag ... See full document
6
Stability Behavior of the Zero Solution for Nonlinear Damped Vectorial Second Order Differential Equation
... zero solution of nonlinear damped oscillator in the vectorial case is ...of solution of the nonlinear damped vectorial oscillator and the conditions for the stability of the zero ... See full document
5
Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
... weakly nonlinear analysis with the multiple scale method and the adjoint system theory, we derive the amplitude equations of the Turing patterns near the Turing bifurcation point and obtain the analytical ... See full document
33
Fourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry
... fourth order using matrix ...the solution of ...of order O ( ) and spatial derivative with a fourth order compact finite difference ...convergence order is ... See full document
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