[PDF] Top 20 Numerical Solution of Fourth Order Boundary Value Problems by Petrov Galerkin Method with Cubic B splines as basis Functions and Quintic B Splines as Weight Functions

... 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

... the solution for these types of problems have been discussed in Agarwal ...of boundary value problems in general is not ...tenth-order boundary value ... See full document

... element method which involves Petrov-Galerkin approach with quintic B-splines as basis functions and sextic B- splines as weight ... See full document

... 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 ... See full document

... element method involving collocation method with quintic B-splines as basis functions has been developed to solve seventh order boundary value ... See full document

... a Galerkin method with quartic B-splines as basis functions has been developed to solve a general fifth order boundary value ...quartic B-spline ... See full document

... the cubic, quintic and septic B-splines functions to develop a numerical method for obtaining approximation solution numerical solution of the matrix ... See full document

... ninth-order boundary value problems are known to arise in the study of astrophysics, hydrodynamic and hydro magnetic stability ...characteristic-value problems of higher ... See full document

... of problems using various ...type problems using the technique of reproducing kernel ...[12]. Galerkin method with different basis functions was applied to solve this type of ... See full document

... ninth-order boundary value problems by using different methods for numerical ...the solution of a special case of nonlinear higher order two point boundary ... See full document

... the numerical treatment of the problem ...collocation method with cubic B-splines as basis functions to solve ...Numerov method and finite difference schemes based on ... See full document

... of B-splines in the numerical solution of differential equa- tions, our focus is to use an appropriate B-splines for the numerical solution of ...of splines ... See full document

... collocation method has been mentioned. In section 3, the definition of quintic B-splines has been ...collocation method with quintic B-splines as basis ... See full document

... a Petrov- Galerkin method with quartic B-splines as basis functions and sextic B-splines as weight functions to solve sixth order ... See full document

... 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 ... See full document

... interpolating functions [1]. Then, B-spline functions were found to be an efficient method for solving wave equation such as, Dehghan et al [4], Khury et ... See full document

... and boundary value problem in a single space ...this method to the free boundary problem, that is, one-dimensional single- phase Stefan problem for which part of the boundary has to be ... See full document

... unilateral problems arising in mathematical and engineering sci- ...Various numerical me- thods are being developed and applied to find the nume- rical solutions of the obstacle problems including ... 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 order to carry out ... See full document

... higher order derivatives of the function f (x, y, y ...the solution of BVPs. However, the higher order problems have not been solved by spline/subdivision ...6th order boundary ... See full document