[PDF] Top 20 Numerical solution of sixth order boundary value problems by Petrov Galerkin method with quartic B Splines as basis functions and quintic B Splines as weight functions

... The sixth order boundary value problems occur in astrophysics ...of sixth order. The existence and uniqueness of the solution for these types of problems ... See full document

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

... 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 quintic B-splines as basis functions and sextic B-splines as weight ... See full document

... difference method for a Cauchy ...decomposition method. Ramos[25] used quasilinearization method based on fi- nite differences for solving the GRLW ...the Petrov-Galerkin method ... 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 are known to arise in the study of astrophysics, hydrodynamic and hydro magnetic stability ...characteristic-value problems of higher ... 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

... sextic B-splines as basis functions has been developed to solve ninth order boundary value ...and sixth order derivatives for the dependent variable is ... See full document

... initial boundary value problems as ...different method classes, finite volume, differential quadrature and finite difference schemes ...cubic B-spline functions for the solutions ... 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

... 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 involving Galerkin method with quartic B-splines as basis functions has been developed to solve a general fifth order boundary ... 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

... spline functions for the solution of two point boundary value ...second order two point boundary value ...the solution of a set of linear equations whose matrix ... See full document

... degree B-spline collocation method the approximate solution is written as the linear combination of ninth degree B-spline basis functions for the approximation space under ... See full document

... their method gives approximations which are better than that produced by Al-Said method ...second order boundary value problems of the form (5)-(6) with qua- dratic ... See full document

... fifth-order boundary value problems are solved by means of septic B-splines collocation me- ...nonlinear problems to linear problems and reduce a boundary ... See full document

... many problems in physics, engineering, biology and so ...second-order boundary value problems. For instance, B-spline method has been proposed in ...Spline ... See full document