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

... continuous functions defined on the interval [c, d]. The sixth order boundary value problems occur in astrophysics ...is sixth order. The existence and uniqueness ... 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 involving Petrov-Galerkin method with quintic B-splines as basis functions and sextic B-splines as 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 ... See full document

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

... 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

... 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

... 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

... spline functions technique which has been developed to solve these type of boundary value ...two numerical techniques namely, Spectral Galerkin and Spectral Collocation methods to solve ... 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

... of the invariants obtained by the present method with those obtained in Refs. [, , , ] are listed in Table . It is seen that the obtained values of the invariants remain almost constant during the ... 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

... septic B-spline function is used as a basis function and the B-spline collocation method is studied to solve the linear and nonlinear fifth-order boundary value ...The ... See full document

... analytical solution of the differential equation ...central value. The same aspect is also satisfied by the numerical approximations as is evident from the above ... See full document

... second order linear boundary value problem, by the technique of Galerkin ...trial functions. The proposed method is tested on several numerical examples of second ... See full document

... his numerical results with other available results given in ...spline method gives much better results than those produced by other methods (including the fourth order Nemerov ... See full document

... Numerical results of the approximate solutions (27), (28), (29) and the results obtained using Adomian decomposition method [3] and differential transform method [4] are displayed in table 3. These ... See full document

... In order to construct a monotonic solution, we use the set of functions that belong to Reproducing Kernel Hilbert Space (RKHS) associated with the INK-spline kernel (splines with Infinite ... See full document