[PDF] Top 20 A Cubic Spline Method for Solving a Unilateral Obstacle Problem

... the obstacle problem; see, ...numerical method for solving a one dimentional obstacle problem by using the cubic spline collocation method and the ... See full document

... and cubic spline methods for solving (5)-(6) and compared his numerical results with other available results given in ...the cubic spline method gives much better results than ... See full document

... of cubic splines for the numerical solution of linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...accurate cubic ... See full document

... this problem is difficult to solve ...for solving high order boundary value ...of solving linear two-point boundary value problem has first been suggested by Bickley in 1968 ...used ... See full document

... The linear system of Eq.10 is a local system, and all of these systems must be put together to make up a global linear system of equations with dimension 6n  6n. The parameters for each spline function are ... See full document

... Mathematically, inverse problems belong to the class of ill-posed problems. The matrix A is singular and ill-posed, thus the estimate of C 0 by (4.1) will be unstable so that the Tikhonov regularization method ... See full document

... biorthogonal cubic Hermite spline mul- tiwavelets on the interval [0, 1] as the interpolating functions to achieve high perfor- mance computations of ...Our method consists of reducing the FOCP to a ... See full document

... The validity of the proposed method is invesitgated by solving two initial boundary value problems. The propagation of a positive single solitary and travel of a wave are simulated successfully by the ... See full document

... the cubic B-splines collocation method does not require extra effort to deal with the nonlinear ...collocation method which is adopted to Tikhonov regularization method, the solution of the ... See full document

... numerical method for solving the Burgers ...modified cubic B-splines basis functions in space ...this method has been verified by considering some test ...present method has been seen ... See full document

... 4.2. Stability analysis of the method. The stability analysis of nonlinear partial differential equations is not easy task to undertake. Most researchers copy with the problem by linearizing the partial ... See full document

... and cubic B-spline interpolation function have comparatively poor response in the pass ...resolution cubic splines have good response in the stop band similar to the cubic ...bilinear, ... See full document

... In this paper, complementary error function is used as the transition zone function for cases when the slope of the optical zone edge is lower than −2. The geometric continuity and the parametric continuity for the ... See full document

... It should be noted that  j is a member of our class of rational spline functions. Since the class of rational cubic functions contains all polynomials of degree 1 , hence the linear extension in (5.1) for ... See full document

... alternative method has been proposed in this study to estimate the volatility of financial time series data by fitting the natural cubic spline model to the absolute returns of the ...Newton-Raphson ... See full document

... the cubic B-spline collocation method is used [7, 9, 10] for solving the heat equation (1) and the solutions are compared with the exact ...B-spline method and uniform ... See full document

... paper, Spline collocation method is employed to approximate the solution of Burgers equation, which is a one-dimensional non-linear partial differential equation in fluid ...the Spline Collocation ... See full document

... the same parameters in first computation with different decreasing values of ∆t. The corresponding results are reported in table 2. In both computations, the results are same for u(x, t) and v(x, t) because of symmetric ... See full document

... The X-Spline was considered to generalize the conventional spline. Here the second derivative is allowed to possess discontinuities at the knots. The magnitudes of these discontinuities are related to those ... See full document

... a method for solving the elliptic problem for any given boundary values g(x, y) on dΩ, any given obstacle ψ(x, y), and any force f (x, y) working on the ...elliptic obstacle ... See full document