[PDF] Top 20 Solving Ordinary Differential Equations with Evolutionary Algorithms
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Solving Ordinary Differential Equations with Evolutionary Algorithms
... centuries, Differential Equations (DEs) have been an important concept in many branches of ...Many Ordinary Differential Equations (ODEs) have been solved analytically to obtain ... See full document
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Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations
... 8 International Journal of Mathematics and Mathematical Sciences of boundary value problems 6 and in computational fluid dynamics 7, 8. For the ultraspherical coefficients of the moments of a general-order derivative of an ... See full document
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A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... Many Numerical researchers namely Ogunrinde [1], Fatunla [2], Butcher [3], Liu, Turner [4] and even Ibijola [5] and so on, have established schemes in order to solve some initial value problems of ordinary ... See full document
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Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
... of maximum errors for DI2BBDF gets smaller. Furthermore, by comparing our results with the solutions obtained by the existing methods, we can conclude that DI2BBDF yields less accurate approximations. However, for the ... See full document
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The euler’s spreadsheet calculator using VBA programming for solving ordinary differential equations
... Given E t ( ) sin(100 ) t volts, R 5 ohms, C 0.1 farads and at the initial time t 0 the initial current is i = 0. We want to solve the differential equation (5), which is the RC-circuit ODE, for time ... See full document
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Efficient algorithms for solving nonlinear Volterra integro differential equations with two point boundary conditions
... EFFICIENT ALGORITHMS FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH TWO POINT BOUNDARY CONDITIONS LE.. GAREY and R.E.[r] ... See full document
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Solving high order ordinary differential equations with radial basis function networks
... In solving second order DEs (Mai-Duy and Tran-Cong [16]), experience showed that the value of β can be chosen in the range 1 ≤ β ≤ ...of equations because all design matrices obtained here are ... See full document
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Finite Difference Method for Solving the Initial Value Ordinary Differential Equations (ODE)
... In this research, finite difference approximate methods for solving initial value ordinary differential equation have been studied. Even if the method is long, it is shown that finite difference ... See full document
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Ensemble of Flexible Neural Tree and Ordinary Differential Equations for Small-time Scale Network Traffic Prediction
... hybrid evolutionary method, in which GP and PSO are employed to evolve the architecture and the parameters of FNT and the additive tree models for system of ordinary differential equation ... See full document
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A new exponential Jacobi pseudospectral method for solving high order ordinary differential equations
... In this article, we derive the operational matrix of differentiation of exponential Jacobi functions, and then we implement a new exponential Jacobi pseudospectral method in conjunction with the operational matrix of ... See full document
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A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods
... ied using neural network method to solve several fractional differential equations (FDEs). We have never dealt with the numerical solution of FDEs using neural network method. This will become an important research ... See full document
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Tau Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations
... In this paper, we apply the Tau-collocation approximation method for the solution of linear initial value prob- lems of the first and second order ODE in its differential and canonical form. We perform some ... See full document
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RЀNYI ENTROPY FOR MIXTURE MODEL OF ULTIVARIATE SKEW NORMAL CAUCHY DISTRIBUTIONS
... for solving initial value problems of the n-th order random ordinary differential equations by means of using the variational iteration method and numerical integration ... See full document
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A new Legendre wavelets decomposition method for solving PDEs
... This work shows that the Legendre wavelets method is a very effective technique for reducing partial differential equations into a set of ordinary differential equations. This numerical ... See full document
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Numerical Solution of Extended Block Backward Differentiation Formulae for Solving Stiff ODEs
... The objective is met when Extended BBDF method outperformed ode15s and ode23s in term of average error as well as maximum error. In most of the cases, Extended BBDF has successfully managed to reduce the number of total ... See full document
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Conformable Laplace Transform of Fractional Differential Equations
... Integral inequalities are very useful in the study of ordinary differential and integral equations. For example the Gronwall inequality and its generalizations play an important role in the ... See full document
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The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
... In this paper, some BVP involving FPDE were presented. By means of mod- ified Mittag-Lefller functions we presented their solutions in the form of series. Then by using the theory of ordinary differential ... See full document
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Experimental Verification of Dynamic Modelling of Nitrogen Adsorption on Zeolite 13X with VSA Process
... Linear driving force (LDF) has been applied as a suitable approximation to describe the rate coefficient for extra particle and intra particle mass transfer controlling. Also, intra particle mass transfer can be ... See full document
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Invariant functions for solving multiplicative discrete and continuous ordinary differential equations
... Remark 2.1. Some of properties of this kind of derivative have been given in [3] by the authors. Also, for the elementary functions their discrete multiplicative derivatives have been given. They used this function for ... See full document
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Artificial Neural Networks Approach for Solving Stokes Problem
... for solving ordinary differential equations and partial differential equations for both boundary value and initial value ... See full document
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