[PDF] Top 20 Numerical approximation for the solution of linear sixth order boundary value problems by cubic B spline

... of boundary value problems (BVPs) are almost unlimited, and they play an important role in all the branches of science, engineering, and ...solving problems related to a system of ... See full document

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

... approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...of approximation is made orthogonal to the weight ... See full document

... general sixth order two point boundary value problem with two different cases of boundary conditions by the proposed method with quartic B-splines as basis functions and quintic ... See full document

... ABSTRACT This paper deals with a finite element method involving Petrov-Galerkin method with cubic B-splines as basis functions and quintic B-splines as weight functions to solve a gener[r] ... See full document

... some problems constructed with KdVB equation. One of the frontier numerical studies on KdVB equation is based on Bubnov- Galerkin’s finite element method using cubic ...quintic B-spline ... See full document

... of approximation is made orthogonal to the basis ...of approximation solution for a given differential equation exists and is unique under appropriate conditions [20, 21] irrespective of properties ... See full document

... quintic B-splines has been ...quintic B-splines as basis functions has been presented and in section 5, solution procedure to find the nodal parameters is ...6, numerical examples of both ... See full document

... Dirichlet boundary conditions, where h > 0, k > 0 are grid sizes in space and time-directions, ...The cubic spline approximation produces at each time level a spline function ... See full document

... Legendre approximation method for solving higher order fractional dif- ferential equations has been ...The solution is expressed as a truncated Legendre series, and so it can be easily evaluated for ... See full document

... computational order of convergence (COC ∗ ) for the uniform mesh ...to problems in cartesian as well as polar coor- dinates with minor modifications and even higher-order singularly perturbed ... See full document

... value problems analytically is possible only in very rare ...their numerical solutions [2-4]. Khan in [5] obtained a parametric cubic spline solution of two point boundary ... See full document

... and boundary value problems under the Hermite space (The space generated by Hermite wavelet ...second order linear singular problems, which are in the polynomial form of degree n ... See full document

... degree B-spline as basis function in collocation method is applied to ninth order linear differential equations with boundary condition ...the numerical solutions for ninth ... See full document

... Nth order BVPs using ...offers numerical stimulation of the method on some selected thirteen-order, twelve-order and ten-order boundary value ... See full document

... functions. B-splines were introduced by Schoenberg in 1946 [5]. Up to now, B-spline approximation method for numerical solutions has been re- searched by various researchers ... See full document

... new B-spline technique namely trigono- metric B-spline collocation algorithm to solve some initial boundary value problems for the nonlinear Klein-Gordon ...In ... See full document

... third order, which plays a big role in the discussion of nonlinear dispersive ...analytical solution. Irk et al. [8] studied a second order spline approximation technique and made ... See full document

... in order to solve the differential equation of fractional order ...obtain numerical solutions of fractional differential equations ...the spline technique to establish the accurate and ... See full document

... fractional boundary value problems [6, 7]; The Adomian decomposition method is used by Jafari and Daftardar-Gejji to find approximation and positive solution for a kind of fractional ... See full document