In this paper one dimensional heat equation is solved using Galerkin B-spline Finite Element. Solution is obtained by reducing the initial boundary value problem to the set of Ordinary differential equations. Discretization of the spatial domain is made using cubic B-spline functions as basis functions. The numerical results obtained from the two test problems are compared with the analytical s...

This paper focuses on self-similar gravitational collapse solutions of the Einstein--axion-dilaton configuration for two conjugacy classes SL(2, R) transformations. These are invariant under spacetime dilation, combined with internal For first time in literature, we apply nonlinear statistical spline regression methods to estimate critical spherical black hole four dimension. include truncated ...

This paper proposesa new class of unit quaternion curves in SO(3). A general method is developed that transforms a curve in R3 (defined as a weighted sum of basis functions) into its unit quaternion analogue in SO(3). Applying the method to well-known spline curves (such as Bézier, Hermite, and B-spline curves), we are able to construct various unit quaternion curves which share many important ...

We discuss the construction of C 2 cubic spline quasi-interpolation schemes defined on a refined partition. These are reduced in terms degrees freedom compared to those existing literature. Namely, we provide rule for reducing them by imposing super-smoothing conditions while preserving full smoothness and precision. In addition, subdivision rules means blossoming. The derived designed express ...

Data coding have emerged in different directions. Various real time applications focused towards the improvement of data codings for efficient and accurate usage of available resources. In such application where resources are constrained, data coding systems are facing the limitation of processing speed and accuracy. Applications where speed of computation for

The problem of article is cubic spline-interpolation of functions having high gradient regions. It is shown that uniform grids are inefficient to be used. In case of piecewise-uniform grids, concentrated in the boundary layer, for cubic spline interpolation are announced asymptotically exact estimates on a class of functions with an exponential boundary layer. There are obtained results showing...

A collocation procedure is developed for the linear and nonlinear Fredholm and Volterra integral equations, using the globally defined B-spline and auxiliary basis functions. The solution is collocated by cubic B-spline and then the integral equation is approximated by the 5-points Gauss–Turán quadrature formula with respect to the Legendre weight function. Combination of these two approaches i...