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

... decomposition method and he provided the solution in the form of a rapidly convergent ...provided solution of different types of linear and nonlinear higher order boundary value ... 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 (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

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

... 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

... 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

... septic B- spline basis set has been redefined into a new set of basis functions which in number match with the number of selected collocation ...proposed method is applied to solve ... 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

... of numerical methods [1, 2, 4, 5, 8, 9, 11, 12, 16, 31] have been presented to solve BVPs problem, ...methods, splines methods, finite difference methods, finite element methods, variational iteration, the ... 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

... 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

... the B-spline finite element method for solution of a linear system of second-order boundary value ...quadratic B-spline finite element are discussed, the numerical ... See full document

... seventh-order boundary value problems by optimal homotopy asymptotic method using different types of auxiliary ...auxiliary functions in terms of convergent series with excellent ... See full document