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polynomial spline

Non polynomial spline method for the time fractional nonlinear Schrödinger equation

Non polynomial spline method for the time fractional nonlinear Schrödinger equation

... In this paper, we have studied a numerical method based on cubic non-polynomial spline for the solution of a time-fractional nonlinear Schrödinger equation. By using the Fourier analysis, the scheme is ...

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Non-polynomial Spline Method for Solving Coupled Burgers Equations

Non-polynomial Spline Method for Solving Coupled Burgers Equations

... non-polynomial spline method for the solving nonlinear differential equation ...new spline function as form: T 3 = span{1, x, tanh(ωx), sech(ωx)}, where ω is ...

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A new variable mesh method based on non polynomial spline in compression approximations for 1D quasilinear hyperbolic equations

A new variable mesh method based on non polynomial spline in compression approximations for 1D quasilinear hyperbolic equations

... accuracy for the solution of second order quasilinear hyperbolic equation (.). To demon- strate the efficiency and the applicability of the proposed method, we have applied it to a few benchmark problems and have ...

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A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function

Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed

A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed

... In this paper, third order non-polynomial spline function is used to solve 2 nd kind Volterra integral equations. Numerical examples are presented to illustrate the applications of this method, and to ...

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A new non polynomial spline method for solution of linear and non linear third order dispersive equations

A new non polynomial spline method for solution of linear and non linear third order dispersive equations

... non-polynomial spline method. In [9], authors presented non-polynomial spline method for solving the generalized regularized long wave (GRLW) ...

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Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

... In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable ...

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Polynomial spline-approximation of Clarke's model

Polynomial spline-approximation of Clarke's model

... of polynomial spline approximation of random processes in application to Clarke’s model used for modeling time variations of path amplitudes in multipath fading channels with Doppler ...of spline ...

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Study of polynomial and non polynomial spline based approximation

Study of polynomial and non polynomial spline based approximation

... various spline functions to solve different systems of differential ...to spline, in section 11 spline solution of differential equations and finally in section 12 the conclusion and further ...

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Polynomial spline collocation methods for second order Volterra integrodifferential equations

Polynomial spline collocation methods for second order Volterra integrodifferential equations

... As we can see from the above tables, the collocation spline method yields very good approximations when d = 1 , 2. However, for d = 0, the method performs poorly. But for the case d = 3, the method converges if ...

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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 spline functions with some additional assumptions and definitions for approximating the solution of system of ordinary delay differential equation with fractional order which studied in [7] ...

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Least square polynomial spline approximation

Least square polynomial spline approximation

... Bounds are derived for both the L 2- and L -norms of the error in approxi- mating sufficiently smooth functions by polynomial splines using an integral least square technique [r] ...

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A review on singular perturbed delay differential equations

A review on singular perturbed delay differential equations

... non polynomial spline finite difference ...parametric spline method for second order singularly perturbed boundary-value ...septic spline. In this paper spline of septic degree are ...

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Non polynomial cubic spline discretization for system of non linear singular boundary value problems using variable mesh

Non polynomial cubic spline discretization for system of non linear singular boundary value problems using variable mesh

... cubic spline TAGE, Newton-TAGE iteration methods using a finite difference and cubic spline method based on uniform and non-uniform mesh, respectively, to solve non-linear singular two point boundary value ...

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A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations

A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations

... years, spline functions have also been frequently employed for the numerical solution of fractional order ...of spline functions provides enough motivation to employ them for the numerical study of ...

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SPLINE SOLUTIONS OF LINEAR FRACTIONAL BVPS WITH TWO CAPUTOS APPROACHES

SPLINE SOLUTIONS OF LINEAR FRACTIONAL BVPS WITH TWO CAPUTOS APPROACHES

... cubic polynomial spline func- tions are proposed for the linear fractional boundary value problems (FBVPs) with Caputos left and right fractional ...

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The stability of collocation methods for higher order Volterra integro differential equations

The stability of collocation methods for higher order Volterra integro differential equations

... the polynomial spline collocation method for general Volterra integro-differential equation is being ...the polynomial spline collocation method for the higher-order integro-differential ...

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Adaptive refinement of hierarchical T-splines

Adaptive refinement of hierarchical T-splines

... The geometry and boundary conditions of the annulus are shown in Figure 16a. The domain Ω is initially discre- tised by NURBS with a polynomial degree p = 2, with knot vectors Ξ 1 = [0, 0, 0, 1, 1, 1] and Ξ 2 = ...

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Glucose Calibration Modeling in Blood with Spline Regression Approaching to Non-Invasive Tools

Glucose Calibration Modeling in Blood with Spline Regression Approaching to Non-Invasive Tools

... In this globalization era, health is the most important thing to be able to run various activities. Without good health, this will hinder many activities. Diabetes mellitus is one of the diseases caused by unhealty ...

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Intensity-curvature functional based digital high pass filter of the bivariate cubic B-spline model polynomial function

Intensity-curvature functional based digital high pass filter of the bivariate cubic B-spline model polynomial function

... polynomial HPF from a model polynomial function which, in the present study, is the bivariate cubic B- spline. The originality of this study is thus to hypothesize that the ICF of an image is its ...

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