[PDF] Top 20 Solution of Boundary-Value Problems using Kantorovich Method

... of the parametric eigenvalue problem for an ordinary second-order di ff erential equation. Finally, the initial problem is reduced to a BVP for a set of self-adjoint second-order di ff erential equations for functions of ... See full document

... exact solution are known as analytical meth- ...and boundary value problems for ordinary differential equations arises in many fields such as gas dynamics, atomic structures, chemical reactions ... 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 Dirichlet type ... See full document

... of boundary value problems is large and still growing ...block method [2], Chebyshev finite difference method [3], sinc collocation method [4, 5], compact finite difference ... See full document

... iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value ...the method by testing three different mathematical models of distinct ... See full document

... In this research report, we will be concerned with the finite-difference multigrid solution of nonlinear elliptic boundary value problems BVP's , and consider the implementation of multi[r] ... See full document

... fifth-order boundary value problems are solved by means of septic B-splines collocation me- ...nonlinear problems to linear problems and reduce a boundary value problem to ... See full document

... a method for solving two point boundary value problems of ordinary differential ...develop method, we consider derivative of solution of a problem as an intermediate problem ... See full document

... positive solution sets of differential boundary value ...by using the results, we obtain an existence result for differential boundary value ...The method used to show the ... See full document

... Three-point boundary value problems for ordinary differential equations by matching solutions, Nonlinear Anal.. Exlstence-unlqueness theorems for three-polnt.[r] ... See full document

... order Boundary Value Problems by Standard Collocation and Perturbed Collocation ...with boundary points inclusive and equally-spaced points with boundary points ...Collocation ... See full document

... x nJ+l matrix and r is an nJ+l-vector Employing Euler's method to approximate the differential equation lala, this formulation of the discrete problem becomes This example will be used t[r] ... See full document

... years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et ...By using the critical point theory, Deng ... See full document

... where u Is the vector of values u(x,t) at the nodes x. « £ , (i ■ 0,1,.. • .,N; Nh « 1), ln is a vector Involving the boundary conditions at t = nk, and U is a matrix of onir N«d. It la well known (e.g. 3j' that ... See full document

... DOI: 10.4236/apm.2018.812051 832 Advances in Pure Mathematics prominent tools that are perfectly representing many engineering and physical problems. However, solving fractional differential equations are a ... See full document

... Abstract:- Wavelet-Galerkin technique has very important advantages over classical finite difference and finite element method. In this paper, we have made an attempt to develop a technique for Wavelet-Galerkin ... See full document

... iterative method for singular and singularly perturbed boundary val- ue ...The method is explicit in nature, and can be considered to be an iterative predictor-corrector me- ...the method in ... See full document

... of using continuous genetic algorithm for solution of second-order, two-point linear and nonlinear boundary value ...equation problems, such as, finite element method, soothing ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... perturbation method is a highly efficient method for solving boundary value problems arising in various fields of engineering and ... See full document