non-polynomial spline function
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 ...
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Non polynomial spline method for the time fractional nonlinear Schrödinger equation
... using spline functions for smooth approximate solution of differential systems was given by Ahlberg et ...the spline method has been applied to solve the boundary value problems [18–21] and some partial ...
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Study of polynomial and non polynomial spline based approximation
... and spline solutions of differential ...a spline function is a more adaptable approximating function than a polynomial involving a comparable number of ...of spline functions to ...
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A new non polynomial spline method for solution of linear and non linear third order dispersive equations
... quartic spline function to develop a numerical method to approximate the solution of third order homogeneous and non-homogeneous linear dispersive equation in one space dimension with f (x, t) as a ...
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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... the spline functions which will be used to raise the accuracy of the method ...This spline function gives the same results if we used the spline function based on other trigonometric ...
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A new variable mesh method based on non polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
... three non-uniform grid points in x-direction and three uniform grid points in t-direction, we discuss a new three- level implicit method of accuracy two in time and three in space based on spline in com- ...
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A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
... The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while ...
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Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
... with continuity conditions of y and y at c and d. Here, f and g are continuous functions on [a, b] and [c, d], respectively, r, a ¯ and b ¯ are real finite constants. This type of systems arise in the study of obstacle, ...
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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 ...
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Intensity-curvature functional based digital high pass filter of the bivariate cubic B-spline model polynomial function
... model polynomial function and is called ICF-based ...model function needs to be second order differentiable and to have non-null classic-curvature calculated at the origin (0, 0) of the pixel ...
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Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... a spline collocation method for ap- proximate solution of fourth-order time fractional ...whereas non-polynomial quintic spline function, comprised of a trigonometric part and a ...
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THE SOLUTION OF FREE-FORM DEFORMATION PROBLEM USING PSEUDOINVERSE
... piecewise polynomial B-spline functions and following B-spline curves and surfaces is well known and precisely described in the literature, ...basis function with a regular grid of control ...
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Construction of Orthonormal Piecewise Polynomial Scaling and Wavelet Bases on Non-Equally Spaced Knots
... basic spline ba- sis is performed with the classical Gram-Schmidt method on each bounded intervals of the initial ...orthonormal spline scal- ing and wavelet bases construction whatever the degree of the ...
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Numerical Treatment of Nonlinear Third Order Boundary Value Problem
... apply non-polynomial quintic spline function [12-14] that has a polynomial and trigonometric parts to develop a new numerical method for obtaining smooth approximations to the solution ...
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The entropy function for non polynomial problems and its applications for Turing machines
... entropy function of H(Y=g(X)) and its correlation with random variable X can be used by any program p n to decide the limits in which cases the near-optimal values satisfy the halting ...distribution ...
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Study the Trend Pattern in COVID-19 using Spline-Based Time Series Model: A Bayesian Paradigm
... In this paper, we study the trend pattern of COVID-19 series using an autoregressive model with a trend approximated by a linear spline function. Identification of the number of knots and their location is ...
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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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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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A review of spline function procedures in R
... creating spline functions, and mgcv or gamlss for regression ...incorporated spline smoothing with the requirement of splines package, but also has some useful functions to display the fitted ...
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Solving a nonlinear inverse system of Burgers equations
... base function [18] and the function specification methods [19] was used as solution to the inverse ...of spline functions is a very active field of approximation theory and boundary value problems ...
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