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Nonlinear Ordinary Differential Equations

On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations

On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations

... order nonlinear ordinary differential ...partial differential equations show that this method can be improved and introduces a significant improvement in solving this type of ...

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The extended tanh method for certain system of nonlinear ordinary differential equations

The extended tanh method for certain system of nonlinear ordinary differential equations

... the nonlinear ordinary differential equations and partial differential equations are quite ...of nonlinear differential ...integrable nonlinear ...

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On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis

On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis

... of nonlinear ordinary differen- tial ...general, nonlinear dynamical systems exhibiting oscillating limit cycles can be found in a large variety of fields including biology, chemistry, mechanics and ...

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Construction Of Lyapunov Functions For Some Fourth Order Nonlinear Ordinary Differential Equations By Method Of Integration

Construction Of Lyapunov Functions For Some Fourth Order Nonlinear Ordinary Differential Equations By Method Of Integration

... non-linear differential equations; see for example [Anderson 1968, Barbasin 1968] The other Lyapunov‘s theorem considered V x   such that V   0  0 and ...

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Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

... of equations, and, with attention to Gaussian nodes, we must solve the set of nonlinear ...of equations with elimination of two equations, and we add these boundary conditions to the system as ...

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Simplifying Two Families of Nonlinear Ordinary Differential Equations

Simplifying Two Families of Nonlinear Ordinary Differential Equations

... the differential equations (1) and (3) to (6) and (8), the idea comes from the papers [2, 7, 8, 9, 10, 11, 12, 13, 14] and the closely related references ...

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Special Multiplicative Operators for the Solution of ODE – Invariants and Representations

Special Multiplicative Operators for the Solution of ODE – Invariants and Representations

... to nonlinear ordinary differential equations (ODE) is an important research ...autonomous nonlinear ODE is presented in ...order nonlinear differential equations ...

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An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation

An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation

...   , which are nonlinear ordinary differential equations on the semi-in- finite domain [1] [2]. The efficiency of the DTM is illustrated by investigating the convergence results for this type ...

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Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell

Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell

... paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of ...

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A Neural Network Approach for Solving Fractional-Order Model of HIV Infection of CD4+T-Cells

A Neural Network Approach for Solving Fractional-Order Model of HIV Infection of CD4+T-Cells

... of nonlinear ordinary differential equations system of fractional order such as human T-cell lymphotropic virus HIV infection of ...some ordinary differential equation systems of ...

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Simulation Model to the Zika Virus Considering Asymptomatic Population

Simulation Model to the Zika Virus Considering Asymptomatic Population

... DOI: 10.4236/ojmsi.2018.61001 4 Open Journal of Modelling and Simulation nonlinear ordinary differential equations is made, and the epidemic threshold basic reproduction number ( i.e. the ...

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Annual Growth Rate Analysis of Select Private Sector Sugar Mills in Tamilnadu

Annual Growth Rate Analysis of Select Private Sector Sugar Mills in Tamilnadu

... of nonlinear partial differential equations (NLPDEs) modelling physical phenomena, has become an important ...complicated nonlinear equations and some simple and solvable ...

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Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

... In this sense, mathematical models using system of nonlinear ordinary differential equations of the first order for spread of a virus have been developed in Weber et al. [27], White et al. ...

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Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

... and nonlinear ordinary and partial differential equations of integer and fractional order [19] [20] [21] [22] ...for nonlinear terms as required by some ex- isting ...

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Optimal filtering for systems governed by coupled ordinary and partial differential equations

Optimal filtering for systems governed by coupled ordinary and partial differential equations

... -7- In Chapter IV an optimal filter is derived for a completely general class of stochastic systems governed by coupled nonlinear ordinary and partial differential equations of either fi[r] ...

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A nonlinear computational method for the solution of initial value problems for ordinary differential equations

A nonlinear computational method for the solution of initial value problems for ordinary differential equations

... solve equations of the form ...a differential equation of the form ...on equations of form (1.1). In general differential equations, in one form or another, have been at the centre of ...

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Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations

Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations

... for ordinary differential equations is a very important branch in the differential equation ...differential equations have been obtained by combining the classical method of lower and upper solutions ...

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Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions

Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions

... Abstract. In the paper, the existence and uniqueness of the solutions for the system of the non- linear first-order ordinary differential equations with three-point and integral boundary conditions ...

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Biomolecular implementation of nonlinear system theoretic operators

Biomolecular implementation of nonlinear system theoretic operators

... a nonlinear input-output ...of nonlinear operators can be realised by first converting the ordinary differential equations (ODEs) into their equivalent chemi- cal reaction networks ...

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Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions

Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions

... The article deals with approximate solutions of a nonlinear ordinary differential equation with homogeneous Dirichlet boundary conditions. We provide a scheme of numerical-analytic method based upon ...

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