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[PDF] Top 20 The use of non polynomial interpolants in the numerical solution of ordinary differential equations

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The use of non polynomial interpolants in the numerical solution of ordinary differential equations

The use of non polynomial interpolants in the numerical solution of ordinary differential equations

... Ahen isin r e i th e r formula (2,20) or (2,21) th e oolu tion fo r y _ any be ob tained e i th e r d ire ctly or ixidire ctly by i t e r a t io n a t e ach os eh iTOint, I t is only «hen f(x ,y ) , ne given by (2.1) , ... See full document

169

Numerical Solution of First Order Ordinary Differential Equations

Numerical Solution of First Order Ordinary Differential Equations

... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ... See full document

10

Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

... the use of various types of spline function in the numerical treatment of ordinary differential equations [1]-[5] and delay differential equations [6]-[11] has been ... See full document

9

NUMERICAL SOLUTION OF BLACK – SCHOLES  PARTIAL DIFFERENTIAL EQUATION  USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH  TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN

NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN

... new numerical solution of Black-Scholes Partial Differential Equation using Direct solution of second-order Ordinary Differential Equation ODE with two-step hybrid Block Method ... See full document

7

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

... series solution of the differential ...purely numerical are available for the solution of differential ...The differential transformation technique is one of the numerical ... See full document

5

Haar Wavelet Matrices Designation in Numerical Solution of Ordinary Differential Equations

Haar Wavelet Matrices Designation in Numerical Solution of Ordinary Differential Equations

... solving ordinary differential equations by using Haar wavelet related method, Chen and Hsiao [8-9] had derived an operational matrix of integration based on Haar ...solve ordinary ... See full document

5

Online Full Text

Online Full Text

... comparing numerical methods that have been designed to solve stiff systems of ordinary differential equations; the technique was applied to five methods of which three turn out to be quite ... See full document

6

Numerical Solution of First Order Ordinary Differential Equations

Numerical Solution of First Order Ordinary Differential Equations

... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ... See full document

10

On numerical solutions of fuzzy differential equations

On numerical solutions of fuzzy differential equations

... Fuzzy Differential Equations has been attracting a rapidly growing number of researchers in recent ...some numerical algorithms for fuzzy ordinary differential equations are ... See full document

9

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

... Analytical solution of many applications, where the fractional differential equations appear, cannot be ...cubic polynomial spline- function-based method combined with shooting method is considered to ... See full document

17

On the use of splines in the numerical solution of hyperbolic partial differential equations

On the use of splines in the numerical solution of hyperbolic partial differential equations

... a non-uniform mesh to solve partial differential equation is that the schemes produced are rather more complex and are also likely to have a larger ...piecewise polynomial in each of the intervals ... See full document

125

A new numerical integrator for the solution of stiff first order ordinary differential equations

A new numerical integrator for the solution of stiff first order ordinary differential equations

... We have proposed a non self starting continuous block method in this paper. The continuous block method enable us to evaluate a given problem at all the points within the interval of inte- gration without starting ... See full document

10

Chaotic behaviour of host monad commensal species pair a special 
		numerical case study

Chaotic behaviour of host monad commensal species pair a special numerical case study

... the numerical solutions of the growth rate equations of an ecological commensalism interaction between two species with the help of classical Runge-Kutta method where as the commensal species has a variable ... See full document

6

Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations

Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations

... direct solution of initial value problems (IVPs) of general third-order ordinary differential ...the solution of the IVP. An approximate solution from the basis function was ... See full document

13

Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations

Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations

... used non-polynomial quintic spline technique for one-dimensional heat and wave ...approximate solution of fourth-order time frac- tional ...approximate solution for fractional Bagely–Torvik ... See full document

22

Model inference for ordinary differential equations by parametric polynomial kernel regression

Model inference for ordinary differential equations by parametric polynomial kernel regression

... all polynomial terms of a set of variables [18, ...parametric polynomial kernel function representations, Stochastic Gradient Descent (SGD) is used along with the Backpropagation method (see ... See full document

24

Quadratic spline solution of Calculus of Variation Problems

Quadratic spline solution of Calculus of Variation Problems

... the solution of the ordinary differential equations which arise from problems of calculus of ...approximate solution of the Euler-Lagrange, Euler-Poisson and Euler-Ostrogradsky ... See full document

10

A new non-standard finite difference method for autonomous differential equations

A new non-standard finite difference method for autonomous differential equations

... constructing Non-Standard Finite Difference Method (NSFDM) for the solution of autonomous Ordinary Differential Equations ...its solution do not exhibit numerical ... See full document

14

Continuous Genetic Algorithm : A Robust Method to Solve Higher Order Non-Linear Boundary Value Problem

Continuous Genetic Algorithm : A Robust Method to Solve Higher Order Non-Linear Boundary Value Problem

... the solution of ordinary differential equations [3], solution to system of nonlinear equations [5], application of genetic algorithm and CFD for flow control optimization [11], ... See full document

8

Asymptotic Methods of ODEs: »

Asymptotic Methods of ODEs: »

... linear ordinary differential equations and use them to stabilize numerical ...scalar equations where growth behavior is expressed in terms of elementary ...our equations ... See full document

11

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