[PDF] Top 20 Analytical approximate solution of higher order boundary value problems via variational iteration method

... of variational iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value ...the method by testing ... See full document

... Stefan problems (phase change problems) is one class of moving boundary value problem and as well as application, See Crank[9] and ...exact solution are limited. Therefore, Many ... See full document

... Even higher order ODE can be involved when a uniform magnetic field is applied across the fluid in the same direction as ...tenth order and a twelfth order ODEs respectively. Such ... See full document

... of boundary value problems. Incidentally, most of the boundary value problems do not have closed form solution, this has led to the development of various semi- ... See full document

... The solution of nonlinear problems by analytic techniques is often rather dicult ...[1]. Higher-order initial-boundary value problems arise in many engineering ... See full document

... kernel method. Siddiqi et al. [6] used the variational iteration technique for the so- lution of tenth order boundary value ...case boundary value problems ... See full document

... perturbation method (iteration scheme) will be employed to solve the nonlinear dynamical problems that arise in thin membrane ...the method will be used to mathematically model and solve the ... See full document

... lution method which could be used at almost every sorts of problems has not yet been ...the solution techniques in this area have been developed for partic- ular sorts of ...standard method ... See full document

... various analytical techniques, for example, the conical shell fixed point theorem 1, 6 , Banach contraction map method 7 , Leray-Schauder fixed point theorem 2, 10 , and the upper and lower solution ... See full document

... an analytical approximation to linear and nonlinear problems and it is particularly valuable as a tool for scientists and applied mathematicians ...The variational iteration method is ... See full document

... of variational method we compare the non-dimensional temperature with the non-dimensional radius for different values of non-dimensional relaxation times at different values of non-dimensional time, in ... See full document

... the boundary value problem and estimate each derivative using the boundary ...the boundary conditions, we assess the solution at such a point, and then the resultant arrangement of ... See full document

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ... See full document

... given boundary conditions are also convert into discretization ...The boundary condition in discretization form is give additional information for the solution ... See full document

... Mathematical problems arise in numerous practical situations, particularly in Science and Engineering, for many of these problems, the most appropriate method of solution may not be purely ... See full document

... left and right Caputo fractional derivative of order α separately. a and b are real constants. The differential equation (1.1) is a governing equilibrium equation which comes from the non-local continuum ... See full document

... the method, several benchmark problems are implemented and the com- parisons are given with other methods existing in the recent ...proposed method is superior to other existing ones and is highly ... See full document

... Given the specific finite difference scheme, we can apply it to obtain lower and upper solutions. Then, we can make the difference between upper and lower solutions arbitrar- ily small. The obtained numerical ... See full document

... Neumann boundary value problems and one example of Cauchy boundary value problems which are available in the ...the approximate solutions using same number of piecewise ... See full document

... positone problems, put forward by Keller and Cohen in 2, where the nonlinearity was positive and ...Semipositone problems arise in bulking of mechanical systems, design of suspension bridges, chemical ... See full document