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Closed-form solution of a class of generalized cubic B-splines
Using the Blossom method in the quasi extended Chebyshev space, we first construct a class of generalized cubic Bernstein functions in the...
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Numerical Solution of One-Dimensional Hyperbolic Telegraph Equation Using Collocation of Cubic B-Splines
In this article, we numerically solve the second-order one-dimensional hyperbolic telegraph equation using cubic B-spline collocation. By selecting...
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A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines
This work proposes a finite element method emphasizing with quartic-trigonometric basis functions for finding the numerical solution of nonlinear...
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A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation
Fractional differential equations sufficiently depict the nature in view of the symmetry properties, which portray physical and biological models. In...
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Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method
A novel combination of two schemes has been implemented to determine the approximate solution of Kuramoto–Sivashinsky equation. Differential...
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An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation
In this paper, a proficient numerical technique for the time-fractional telegraph equation (TFTE) is proposed. The chief aim of this paper is to...
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A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations
In this paper, we present a new structure of the n -dimensional trigonometric cubic B-spline collocation algorithm, which we show in three different...
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Hermite interpolation by planar cubic-like ATPH
This paper deals with the construction of the Algebraic Trigonometric Pythagorean Hodograph (ATPH) cubic-like Hermite interpolant. A characterization...
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\(C^1\) -Rational Quadratic Trigonometric Spline Fractal Interpolation Functions
Trigonometric interpolation has an essential role in geometric modeling of conic data. In this paper, a novel...
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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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Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation
In this work, the numerical solutions of advection-diffusion equation are investigated through the finite element method. The quartic-trigonometric...
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New rational cubic trigonometric B-spline curves with two shape parameters
Trigonometric B-spline curves have gained a remarkable attention in computer-aided geometric design (CAGD). This paper presents the cubic and...
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High Order Compact Cubic B-spline Collocation Method for the Solution of Fisher’s Equation
In this article, we formulate a compact fourth order accurate method using the collocation of cubic B-splines to find the numerical solution of the...
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Some results on the space of rational cubic fractal interpolation functions
In this article, rational cubic fractal interpolation function (RCFIF) with three shape parameters is constructed. We develope the orthonormal basis...
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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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Construction of Trigonometric Box Splines and the Associated Non-Stationary Subdivision Schemes
In this paper, we define trigonometric box splines on regular triangular meshes using directional convolution. Using the theory, a non-stationary...
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Fitted operator method for parabolic singularly perturbed convection-diffusion problems via polynomial cubic spline
This article introduces a new fitted operator method for singularly perturbed parabolic convection-diffusion having right boundary layer. We...
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Extended cubic B-splines in the numerical solution of time fractional telegraph equation
A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed....
