[PDF] Top 20 A Galerkin method of O(h2) for singular boundary value problems

... The singular two-point boundary value problems of the form ...applied problems, for example, in the study of electrohydrodynamics [9], in the theory of thermal explosions [4], in the ... See full document

... presented method, ...difference method (HFDM) [19], the cubic B-spline method (CBSM) [7], the quartic B-spline method (QBSM) [14] and the modified cubic B-spline method (MCBSM) ...our ... See full document

... numerical method is devel- oped for the solution of singular initial and boundary value ...and boundary conditions into system of algebraic equations by expanding the unknown function ... See full document

... In order to obtain the existence result, we adopt a suitable combination of fixed point techniques applied to an auxiliary functional Dirichlet problem, and the method of lower and upper solutions (see Sect. 2). ... See full document

... second-order singular Dirichlet-type boundary value problems were discussed in this ...The method is based on approximating functions and their derivatives by using the Whittaker ... See full document

... the boundary layer and the B-spline collocation method solving singular boundary value problems is relatively simple to collocate the solution at the mesh ... See full document

... article, Galerkin-finite element method is proposed to find the approximate solutions of two point boundary value ...point boundary value problems are ... See full document

... nonlinear problems in science and engineering, namely second order differential equa- tions with various types of boundary conditions, are solved either analytically or ...order boundary value ... 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 value ...the boundary where ... See full document

... Such problems have been investigated in many ...[7], Galerkin-wavelet methods [8], variational iteration method [9], spectral methods [10], finite difference methods [11], ... See full document

... There is considerable literature which is relevant to our work. Stanˇ ek [14] considers x = μq(t)f(t, x, x ) (0 < t < T ) with boundary conditions of the type ax(0) − bx (0) = k > 0, x(T ) = 0. The ... See full document

... In this section, three examples are given to illustrate the performance of the sinc-Galerkin method by solving nonlinear Dirichlet-type boundary value problems. Each of these prob- lems ... See full document

... be singular, distributional and ...and boundary conditions and impulses may depend function- ally on the unknown function and/or on its derivatives, and may contain discontinuous ...Concrete problems ... See full document

... a singular point of the ...a singular point [12- 13].There is at present, numerical method for solving problems with regular singular points using Hermite interpolation method ... See full document

... effective method for solving partial differential equation and examines a family of wavelet-Galerkin approximation to the Neumann and mixed boundary value problem, using compactly supported ... See full document

... two-point boundary value problem (FBVP). We use the sinc-Galerkin method that has almost not been employed for the fractional order differential ...present method, the method is ... See full document

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

... iterative method for the solution of singular boundary value prob- ...predictor-corrector method. Sufficient conditions for the conver- gence of the method are ... See full document

... a Galerkin method to solve boundary value ...the problems with periodic boundary conditions have been handled ...Fictious boundary approach with Dirichlet boundary ... See full document

... Present paper is organized as follows: section 2 contains definition and values of derivatives of Cubic Trigonometric B- spline. Section 3 deals with the derivation of the TB-spline method for the singular ... See full document