[PDF] Top 20 Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation

... developed collocation method by using the ninth degree B-spline as basis function in collocation method is applied to ninth order linear ... See full document

... the linear B-spline finite element method (LBS-FEM) and cubic B- spline finite element method (CBS-FEM) for solving and obtaining numerical solutions of Volterra ... See full document

... equations method was implemented to obtain that ...type solution of the nonhomogenous KdVB equation with variable ...KdVB equation was developed by using automated method based on an ... See full document

... KdV equation is a one-dimensional nonlinear partial differential equation of third order, which plays a big role in the discussion of nonlinear dispersive ...This equation was primarily ... See full document

... B-spline collocation methods are economical alternative ways for solving boundary value problems since they only require the evaluation of the unknown parameters at the grid ...the ... See full document

... NLS equation, so the study of the numerical solution of NLS equation in the theory and application is ...Its numerical solutions have been researched by many ...difference method ... See full document

... septic B-splines collocation me- ...to linear problems and reduce a boundary value problem to the solution of algebraic equations with seven nonzero ...The numerical results show that ... 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 order, sixth order, ... See full document

... The ninth-order boundary value problems are known to arise in the study of astrophysics, hydrodynamic and hydro magnetic stability ...higher order (as higher as twenty four) is known to arise in ... See full document

... sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently ... See full document

... developing numerical algorithms to obtain the solutions of ...high- order compact difference scheme and its convergence was detailedly discussed; another similar approach was the compact scheme stated in ... See full document

... second order parabolic linear partial differential equation [1, 3, ...heat equation is a very important equation in physics and ...heat equation describes the distribution ... 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, Galerkin ... See full document

... new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave ...The method is based on collocation of exponential ...Exponential ... See full document

... Third degree B-spline basis functions are used as basis functions in collocation method to approximate the solution of second order Euler–Cauchy equations with Neumann ... See full document

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

... and numerical technique for solving the PDEs related with real world problems(see in ...element method, one of the quite powerful numerical approach which is revealing solutions of ...the ... See full document

... Several numerical and semi-analytical methods have been developed for solving high order boundary value ...solving linear two-point boundary value problem has first been suggested by Bickley in 1968 ... See full document

... the numerical solution, us- ing septic B-spline functions in collocation method, of the modified equal width wave (MEW) equation, which was introduced by Morrison et ... See full document

... two linear second order initial value problems in this paper as shown in Table 1 to Table ...our method with the existing methods like the block and block predic- tor-corrector and the results ... See full document