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spline method

Approximate Strongly Nonlinear Equation By Spline Method

Approximate Strongly Nonlinear Equation By Spline Method

... In this work, we have studied a thin film flow of third grade fluid down an inclined plane. Both approximate analytical and numerical results are obtained for this nonlinear problem. The results are sketched and ...

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Non polynomial spline method for the time fractional nonlinear Schrödinger equation

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 ...

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Non-polynomial Spline Method for Solving Coupled Burgers Equations

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 functions ...

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A Novel Fourier Transform B-spline Method for Option Pricing

A Novel Fourier Transform B-spline Method for Option Pricing

... This method utilizes the Fourier transform to provide an option valuation formula as a contour integral in the complex plane and can be considered as a generalization of the ap- proach of Carr and Madan ...pricing ...

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An O(k2+kh2+h2) Accurate Two level Implicit Cubic Spline Method for One Space Dimensional Quasi linear Parabolic Equations

An O(k2+kh2+h2) Accurate Two level Implicit Cubic Spline Method for One Space Dimensional Quasi linear Parabolic Equations

... cubic spline method (12) in a tri-diagonal matrix ...Newton-Raphson method to solve the non-linear system (see Kelly [23], and Hage- man and Young ...

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An Unconditionally Monotone C2 Quartic Spline Method with Nonoscillation Derivatives

An Unconditionally Monotone C2 Quartic Spline Method with Nonoscillation Derivatives

... for interval “ i ”. All the previous discussions would still hold. This means we have an unconditionally monotone interpolation that is only quartic . It is an integral of the Hermit-cubic splines. Its order is lower ...

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A Cubic Spline Method for Solving a Unilateral Obstacle Problem

A Cubic Spline Method for Solving a Unilateral Obstacle Problem

... penalty method to approximate the obsta- cle problem by a sequence of second order boundary value ...cubic spline to approximate the solution of the boundary ...Newton method. In Section 5 we show ...

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Lookback option pricing using the Fourier transform B-spline method

Lookback option pricing using the Fourier transform B-spline method

... integrals of B-splines as divided differences of appropriate functions. Details of this step are easily followed in the proof of Theorem 3.3. For further details of how this step is implemented, in particular, the ...

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Vol 8, No 7 (2017)

Vol 8, No 7 (2017)

... non-polynomial spline. Mohyud-Din et al. [9] used variation of parameters method for solving fifth order boundary value ...octic spline. Rashidina et al. [8] used spline collocation ...

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B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems

B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems

... B-spline method has been proposed in [4]. Spline functions are a class of piecewise polynomials which satisfy continuity properties depending on the degree of the ...approximations. Spline ...

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Component selection and smoothing in smoothing spline analysis of variance models -- COSSO

Component selection and smoothing in smoothing spline analysis of variance models -- COSSO

... new method for model selection and model fitting in nonparametric regression models, in the framework of smoothing spline ...a method of regularization with the penalty functional being the sum of ...

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Isogeometric Analysis Method for Solving Parabolic PDEs by Using Bivariate Spline

Isogeometric Analysis Method for Solving Parabolic PDEs by Using Bivariate Spline

... analysis method have added yet another dimension to spline’s use, especially the simulation and numerical modelling ...analysis method is undoubtedly the emergence ...analysis method which use ...

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Solving a nonlinear inverse system of Burgers equations

Solving a nonlinear inverse system of Burgers equations

... collocation method does not require extra effort to deal with the nonlinear ...collocation method which is adopted to Tikhonov regularization method, the solution of the inverse system of Burgers ...

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Assessing the Effects of Variability in Interest Rate Derivative Pricing

Assessing the Effects of Variability in Interest Rate Derivative Pricing

... a spline method proposed for the term structure of interest rates by Fisher et ...The method involves the use of smoothing splines with a cubic B-spline ...natural spline basis; this ...

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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

... proposed spline method using spline function of polynomial ...proposed spline method using spline function of polynomial form (using h = ...

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Spline Solution for the Nonlinear Schrödinger Equation

Spline Solution for the Nonlinear Schrödinger Equation

... difference method [10] [11], quasi-interpolation scheme [12], quadratic B-spline finite element scheme [13], compact split-step finite difference method and pseudo-spectral collocation method ...

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Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions

Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions

... cubic spline interpolation to model the solution curve and applied the differential equation as well as the boundary conditions to solve for the unknown ...on spline functions generate solutions of ordinary ...

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Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation

Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation

... B-spline method and trigonometric cubic B-spline to develop a numerical method for solving KdV equation and shown that the scheme is unconditionally ...

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Automatic, computer aided geometric design of free-knot, regression splines

Automatic, computer aided geometric design of free-knot, regression splines

... functional spline regression as a parametric B-spline curve, and on using the shape preserving property of its control ...location method, called the averaging ...GeDS method pro- duces ...

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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

... new method for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline ...this method, convergence and stability have been ...

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