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An Integrative Approach for Analysis of Nonlinear Electrical Circuits Using-Polynomial B-Spline Expansion and B-Spline Krawczyk Operator
This paper addresses the problem of finding a set of all direct current (DC) operating points of a nonlinear circuit, which is a crucial step in its...
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Exact penalty method for knot selection of B-spline regression
This paper presents a new approach to selecting knots at the same time as estimating the B-spline regression model. Such simultaneous selection of...
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Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
This article is devoted to introducing new spline quasi-interpolants for the sharp approximation of data in one and several dimensions. The new...
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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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Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically
This paper proposes two numerical approaches for solving the coupled nonlinear time-fractional Burgers’ equations with initial or boundary conditions...
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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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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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The Unimodality of Initial B-Spline Approximations in Spline Fitting
Finding optimal knots is a challenging problem in spline fitting due to a lack of prior knowledge regarding optimal knots. The unimodality of initial...
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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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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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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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Octic B-spline Collocation Scheme for Numerical Investigation of Fifth Order Boundary Value Problems
In this article , the octic B-spline collocation scheme is employed to obtain the approximate solutions of a linear and nonlinear boundary value...
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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...
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A convergent exponential B-spline collocation method for a time-fractional telegraph equation
This work aims to develop and analyze a numerical method for solving a time-fractional telegraph equation of Caputo type. The method is constructed...
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Efficient numerical schemes based on the cubic B-spline collocation method for time-fractional partial integro-differential equations of Volterra type
This paper proposes two efficient numerical schemes to deal with time-fractional integro-differential reaction-convection-diffusion equations of the...
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A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function
In the present work, we have developed high-order computationally reliable numerical method based on trigonometric quintic B-spline basis functions...
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B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison
Two of the most famous definitions of fractional derivatives are the Riemann-Liouville and the Caputo ones. In principle, these formulations are not...
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Scattered Data Approximation by LR B-Spline Surfaces: A Study on Refinement Strategies for Efficient Approximation
Locally refined B-spline (LRB) surfaces provide a representation that is well suited to scattered data approximation. When a data set has local...
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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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A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations
In this article, high temporal and spatial resolution schemes are combined to solve the Camassa-Holm and Degasperis-Procesi equations. The...
