ON SHOOTING AND FINITE DIFFERENCE METHODS FOR NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS

Using finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle

In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matr...

Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory

In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference schem...

Shooting-projection method for two-point boundary value problems

This paper presents a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations. The method works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula...

On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

A Non-Classical Finite Difference Method for Solving Two Point Boundary Value Problems

A new kind of finite difference method is presented for solving two point boundary value problems. The method is based on rational function approximation technique and its development and analysis is based on Taylor series and binomial expansions. Local truncation error of the method is discussed. The method is tested on model problems and the numerical results are presented. The numerical resu...