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

... the boundary points. So, there is a necessity of redefining the basis functions into a new set of basis functions which vanish on the boundary where the Dirichlet type of ... See full document

... Element Method (FEM) the approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...Ritz method, ... See full document

... Element Method (FEM) the approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...Ritz method, ... 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

... element method involving Petrov-Galerkin method with quartic B-splines as basis functions and sextic B-splines as weight ... 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

... 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

... 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

... value problems analytically is possible only in very rare ...their numerical solutions ...spline solution of two point boundary value problems, in [6] Feng and Li solved a ... See full document

... element method which involves collocation approach with quintic B-splines as basis functions to solve the seventh order boundary value problem of the type ... 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

... 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

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

... unique solution ( ) u x In the present work, we use Galerkin-finite element method for the numerical solution of two point boundary value ... See full document

... sixth order boundary value problems. Perturbation method for nonlinear engineering problems was specified in ...sixth order boundary value problems was ... See full document

... second-order boundary value problems by using the quadratic B-spline finite el- ement method ...the method is tested on one model ...cal solution and some recent ... See full document

... piecewise functions are very es- sential tools in approximation ...applied B-Splines for approximation of unknown answer in integro-differential ...of B-Splines is acceptable (of course ... 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

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

... asymptotic method with different auxiliary functions has been applied to obtain the numerical solutions of linear and nonlinear seventh order boundary value ...problems. ... See full document