[PDF] Top 20 B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems

... many problems in physics, engineering, biology and so ...the linear system of second-order boundary value ...instance, B-spline method has been ... See full document

... Galerkin-finite element method is well known numerical technique for the numerical solution of differential ...Galerkin finite element method and Modal Matrix method to ... See full document

... In finite 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 ...squares ... See full document

... ABSTRACT A finite element method involving collocation method with quartic B-splines as basis functions have been developed to solve fifth order boundary value problems.. The fifth order[r] ... See full document

... collocation method with cubic B-splines as basis functions to solve ...Numerov method and finite difference schemes based on the central difference have been employed in ...cubic spline ... See full document

... cubic B-spline method to solve linear 6th order BVPs arising in ...prescribed method transforms the boundary problem to a system of linear ...6th ... See full document

... of linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...fourth order accurate cubic spline ... See full document

... collocation method is proposed to solve a special case eighth order boundary value ...proposed method, numerical results canbe obtained not only for the solution but also for ... 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, b] into N + 1 equal subintervals, whose end points are the mesh points , for i  0, 1, …, N + 1; where ...of solving a linear system that involves NN ... See full document

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

... of second order using B-spline collocation ...the boundary layer region than outside these regions.The SPDE of second order was treated by the cubic B-spline ... See full document

... new method is applied to non-linear oscillators with discontinuities by He's [15], bifurcation of non-linear problems, periodic solution and bifurcations of delay-dierential equations, limit ... See full document

... numerical method is presented in this paper which employs cubic trigonometric B-spline to solve linear two point second order singular boundary value ... See full document

... perturbed boundary value problems for higher order nonlinear ordinary differential equations, which have important applications in Fluid Dynamics, can be found in [1,2,6- ...fourth ... See full document

... of second-order linear differential ...fuzzy boundary value conditions ...coefficients method, we convert a second-order linear differential equation to the ... See full document

... fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value ...use B-spline collocation method, ... See full document

... the method developed in the previous sections, we suggested penalty functions technique for solving one dimension obstacle problems and deduction of existence and uniqueness solution of a systems ... See full document

... Decomposition Method (ADM) has been widely used by many researchers for solving differential and integral ...this method has dealt with some difficulties for solving the problem involving with ... See full document

... numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value ...The method is fourth ... See full document