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high-order ordinary differential equations

Solving high order ordinary differential equations with radial basis function networks

Solving high order ordinary differential equations with radial basis function networks

... ith order IRBFN scheme, IRBFN-i, is regarded as an indirect scheme in which the ith order derivative is decomposed into a set of ...the order used throughout the present study, namely the ...

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Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations

Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations

... p-Laplacian equations are derived from many fields such as fluid mechanics and nonlinear elastic ...p-Laplacian equations with certain boundary condi- tions have been ...

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A new exponential Jacobi pseudospectral method for solving high order ordinary differential equations

A new exponential Jacobi pseudospectral method for solving high order ordinary differential equations

... stochastic problems. This problem describes several phenomena in engineering, physics and chemical reaction, and so on. Many numerical methods are applied by many authors to study high-order differential ...

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The LS SVM algorithms for boundary value problems of high order ordinary differential equations

The LS SVM algorithms for boundary value problems of high order ordinary differential equations

... linear ordinary differential equations with two-point bound- ary conditions, a three-order nonlinear ordinary differential equation with multi-point boundary conditions, and a ...

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Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

... sixth-order Ordinary Differential Equation (ODE) and an eighth-order ODE ...higher order ODE can be involved when a uniform magnetic field is applied across the fluid in the same ...

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An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

... solving high-order linear ordinary differential equations with variable coefficients is ...The high-order linear ordinary differential equations and ...

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Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations

Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations

... Zhou's differential transform method (ZDTM) is approximate method which construct analytical solution in the firm of polynomial which can be easily applied o many linear and non linear problems by reducing lot of ...

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Application of Numerovs Method on Second Order Ordinary Differential Equations

Application of Numerovs Method on Second Order Ordinary Differential Equations

... the differential equation of second order and how to find the numerical solutions of second order differential equations with the various ...second order differential ...

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... of ordinary differential equations of the first order whose terms oscillate with a high frequency ...third- order equations and formal asymptotics of such solutions in the ...

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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method

Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method

... The differential transformation technique is one of the numerical methods for ordinary differential ...of differential equations in the form of a ...the high-order Taylor ...

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Solution of Second Order Ordinary Differential Equations via Simulated Annealing

Solution of Second Order Ordinary Differential Equations via Simulated Annealing

... Simulated annealing is a simple stochastic function minimizer. It is motivated from the physical process of annealing, where a metal object is heated to a high temperature and allowed to cool slowly. The process ...

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Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

... second order ini- tial value problems of ordinary differential equations and compare the results with the theoretical ...second order ordinary differential ...

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Vol 7, No 8 (2016)

Vol 7, No 8 (2016)

... of differential or integral equations occur in various ...of differential or integral equations ...integrating ordinary differential equations ...arbitrary order ...

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Two Implicit Runge Kutta Methods for Stochastic Differential Equation

Two Implicit Runge Kutta Methods for Stochastic Differential Equation

... In this paper, the Itô-Taylor expansion of stochastic differential equation is briefly introduced. The colored rooted tree theory is applied to derive strong order 1.0 implicit stochastic Runge-Kutta method ...

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Notes on Diffy Qs: Differential Equations for Engineers

Notes on Diffy Qs: Differential Equations for Engineers

... Even for ODEs, which are very well understood, it is not a simple question of turning a crank to get answers. When you can find exact solutions, they are usually preferable to approximate solutions. It is important to ...

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... The equations are based on both human and mosquito population, infection rates of human and mosquito per unit time, rescaling of critical population of each class by total species population and bifurcation ...

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Nonlinear differential equations and algebraic systems

Nonlinear differential equations and algebraic systems

... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ...

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Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations

Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations

... differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see ...impulsive ...

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An optimal class of non-degenerate potentials for second-order ordinary differential equations

An optimal class of non-degenerate potentials for second-order ordinary differential equations

... in order to prove the existence of the optimal control potentials for the optimal control problems deduced from the non-degenerate potential problems, we find that the (strong) continuous dependence of solutions ...

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A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations

A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations

... first order differential equations and then applying the various first order methods available for their ...first order ordinary differential equations (ODEs), also ...

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