Non-polynomial Quintic spline
A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
... the non-polynomial quintic spline technique is given in ...the spline approx- imation and its spatial derivatives at the grid points are derived in this ...2 ...
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Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... The spline approximation techniques have been applied extensively for numerical so- lution of ODEs and ...The spline functions have a variety of significant gains over finite difference ...of spline ...
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Convergence Analysis of Spline Solution of Certain Two-Point Boundary Value Problems
... using non-polynomial quintic spline ...a non-polynomial spline, truncation errors are ...problem; Non-polynomial Quintic spline; Convergence ...
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Quintic Spline Solution of Boundary Value Problems in the Plate De ection Theory
... on quintic and sextic splines, were developed by Usmani ...the quintic spline and non-polynomial quintic spline methods for the solution of linear fourth-order boundary ...
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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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Numerical solution of variational problems via parametric quintic spline method
... words spline function is a piecewise polynomial satisfying certain conditions of continuity of the function and its ...of spline as approximating, interpolating and curve fitting functions have been ...
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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 solve such ...
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Convergence of Quintic Spline Interpolation
... Quartic, Quintic and higher degree spline are popular for smooth and best approximation see Deboor ...degree spline are widely used in the method of Piecewise Polynomial approximation to ...
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New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems
... cubic spline interpolation to solve a two-point bound- ary value ...that spline method is better than the usual nite-dierence method as the spline method has the exibility to get the solution at any ...
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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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Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
... There are substantial interests on the numerical treatment of the problem (1.1). Noor and Khalifa [19] have used a collocation method with cubic B-splines as basis functions to solve (1.1), while the well-known Numerov ...
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NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS
... on polynomial type cubic B-spline functions for the solutions of some initial boundary value problems for the AD equation ...and quintic B-spline functions as basis are combined with some ...
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On A New Approximation Method With Four Times Continuously Differentiable Quintic Integro-Differential Spline
... the quintic integro-differential spline is also presented at the same ...obtained quintic integro-differential spline are investigated in Section VI and some numerical tests are performed in ...
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The Numerical Solution of the MRLW Equation Using the Multigrid Method
... Although the analytical solutions of the MRLW equation, with a limited set of boundary and initial conditions, have been existed, many authors are recently interested in the numerical solutions of this equation. Gardner ...
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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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Non polynomial cubic spline discretization for system of non linear singular boundary value problems using variable mesh
... generalized non-polynomial cubic spline schemes using a variable mesh to solve the system of non-linear singular two point boundary value ...
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A review on singular perturbed delay differential equations
... The study of Singularly Perturbed delay differential equation in the field of computational mathematics is very striking .The study of many theories and applied science results in singularly perturbed delay differential ...
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R-splines for response surface Modeling
... This paper begins by discussing the thin plate spline roughness penalty. It then presents the broken spline modication to the roughness penalty. The Demmler-Reinsch basis function representation of splines ...
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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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