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Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and...
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Smooth projection of mortality improvement rates: a Bayesian two-dimensional spline approach
This paper proposes a spline mortality model for generating smooth projections of mortality improvement rates. In particular, we follow the...
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Local Weighted Average Sampling Over Multiply Generated Spline Spaces of Polynomial Growth
We analyse the following average sampling problem over multiply generated spline spaces of polynomial growth: Let h be a nonnegative integrable...
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THB-Spline Approximations for Turbine Blade Design with Local B-Spline Approximations
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial...
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Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation
We use trivariate spline functions for the numerical solution of the Dirichlet problem of the 3D elliptic Monge-Ampére equation. Mainly we use the...
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Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
In this paper, we shall solve a time-fractional nonlinear Schrödinger equation by using the quintic non-polynomial spline and the L 1 formula. The...
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Cubic B-spline method for non-linear sine-Gordon equation
In this article, one dimensional non-linear sine-Gordon equation has been studied. We propose a new method based on collocation of cubic B spline to...
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Stabilization of spline bases by extension
We present a method to stabilize bases with local supports by means of extension. It generalizes the known approach for tensor product B-splines to a...
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Polynomial Optimization in Geometric Modeling
In this chapter, we review applications of Polynomial Optimization techniques to Geometric Modeling problems. We present examples of topical problems...
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Cubic Spline Interpolation Approach to Solve Multi-Choice Programming Problem
Multi-choice has become a significant part of the real-life decision-making process. Most of the problems involve more than one parameter as a...
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Spectral Analysis of Matrices in B-Spline Galerkin Methods for Riesz Fractional Equations
Polynomial B-spline collocation discretizations for Riesz fractional diffusion equations over uniform meshes have recently appeared in the literature...
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An orthogonal spline collocation method for singularly perturbed parabolic reaction–diffusion problems with time delay
In this article, a numerical technique is developed and analyzed for singularly perturbed delay parabolic reaction–diffusion problems with Dirichlet...
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Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and...
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Cubic spline quadrature rule to calculate supersingular integral on interval
The cubic spline quadrature rule for the calculation of supersingular integral (also called “third order hypersingular integral”) is discussed. The...
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A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation
AbstractThis paper considers an effective numerical collocation method for numerical solution of the KdV–Kawahara equation. This numerical method...
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Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method
AbstractIn this work, the well-known Gardner equation is converted into a coupled system of nonlinear partial differential equations and a modified...
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Polynomial Approximation
This project is devoted to the approximation of a given real function defined on an interval...
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Directional wavelet packets originating from polynomial splines
The paper presents a versatile library of quasi-analytic complex-valued wavelet packets (qWPs) which originate from polynomial splines of arbitrary...
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Numerical Solution of Coupled Korteweg-de Vries Equation Employing Quintic Hyperbolic B-Spline Based Differential Quadrature Method
In the present paper, the differential quadrature method is functionalized to solve coupled Korteweg-de Vries equation numerically with the usage of...
