B-spline basis
A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS
... combination of collocation method with finite element method which is one of the most important methods among all numerical approaches. In order to proceed the method, solution for each unknown is written as a linear ...
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B spline surfaces on circle and fan shaped domain
... a B-spline curve we can get rotating B-spline basis functions and the definition of B-spline surfaces on cylindrical coordinate system, gives the nature of ...
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Generalized B spline curve surface and its properties
... uniform B-spline curve is an important tool for geometric design curve modeling is widely used in computer aided geometric design ...a spline curve [6]. But spline curve can't accurately ...
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Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation
... degree B-spline collocation method the approximate solution is written as the linear combination of ninth degree B-spline basis functions for the approximation space under ...degree ...
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Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... (LCCBS) basis function. If γ = 0, the basis function is equal to cubic trigonometric B-spline basis function and if γ = 1, the basis function is equal to exponential cubic ...
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THE SOLUTION OF FREE-FORM DEFORMATION PROBLEM USING PSEUDOINVERSE
... polynomial B-spline functions and following B-spline curves and surfaces is well known and precisely described in the literature, ...the B-spline basis function with a ...
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Degree Elevation of Interval B-Spline Curves
... interval B-spline curve is presented in this ...fixed B-spline curves) associated with the original interval B-spline curve are ...The B- spline basis ...
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1. A B-Spline-SSPRK54 method for advection-diffusion processes
... This article has explored the utility of a collocation scheme based on modified cubic B-spline basis functions in space with the SSPRK54 scheme in time for solving the Burgers equation. It has been ...
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Numerical Solution to Euler–Cauchy Equation with Neumann Boundary Conditions Using B-Spline Collocation Method
... collocation B- spline method where B-spline basis functions are defined and these nodes are used to make the residue equal to zero to determine unknowns C ' i s in (2), two extra knot ...
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B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
... paper, B-spline finite element method using quadratic B-spline basis functions has been successfully used to develop the solution of lin- ear system of second-order boundary value ...
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Comparison of Significant Approaches of Penalized Spline Regression (P-splines)
... on B-spline basis functions provided by de Boor ...on B-spline basis, with an equidistant grid of knots and a discrete roughness penalty, ...the B-spline ...
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A Method for Topographical Estimation of Lake Bottoms by B-Spline Surface
... of B-spline (Basis spline) surface to the estimation of the lake bottom topography is ...bivariate B-spline, the shape of the lake bottom is ...bivariate B-spline ...
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A review of spline function procedures in R
... which forms the basis of R [2]. R is not only becoming increasingly popular in applied medical research but is also widely used in university teaching. Moreover, sev- eral online resources, blogs and newspapers, ...
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Multilevel B Spline Repulsive Energy in Nanomodeling of Graphenes
... of B-spline functions. In Figure 3(a), we see some illustration of B-spline bases on an internally uniform knot ...a B-spline curve defined on [ ] 0,1 ...the ...
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NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS
... cubic spline method and some standart finite difference ...cubic B-splines is proposed with its error analysis for solute transport processes problems governed by the AD equation ...quadratic ...
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Multiresolution Analysis Adapted to Irregularly Spaced Data
... at the end-point of adjacent intervals. It is possible to increase the regularity of the quadratic wavelet inside each bounded interval if the condition (41) is replaced by the continuity condition of the wavelet first ...
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A BRIEF STUDY ON CARDINAL B- SPLINE WAVELETS
... orthonormal basis or semi-orthonormal basis depending on order of spline for the wavelet ...Constructed B-spline wavelets have a compact support and explicit formulae which reduces the ...
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Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... Heat equation is part of partial differential equations where it supposes to be linear or non-linear form. It is an important PDE which describe the distribution of heat or variation in temperature in a given region over ...
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Numerical studies of non-local hyperbolic partial differential equations using collocation methods
... There are many studies of our equation such as, Ang solved the problem using a scheme based on an integro-differential equation and local interpolating functions [1]. Then, B-spline functions were found to ...
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Degree Reduction of Interval B-Spline Curves
... interval B-spline curve is presented. The B- spline stands as one of the most efficient curve representations, and possesses very attractive properties such as spatial uniqueness, boundedness ...
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