On Solution of Two-Point Fuzzy Boundary Value Problems

‎A Consistent and Accurate Numerical Method for Approximate Numerical Solution of Two Point Boundary Value Problems

In this article we have proposed an accurate finite difference method for approximate numerical solution of second order boundary value problem with Dirichlet boundary conditions. There are numerous numerical methods for solving these boundary value problems. Some these methods are more efficient and accurate than others with some advantages and disadvantages. The results in experiment on model...

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Solution of Two Point Boundary Value Problems Using Wavelet Integrals

Abstract In this paper, we obtain some special types of integrals of Daubechies Wavelets which are used as Galerkin basis functions for numerical solution of partial differential equations of one dimension. Galerkin bases are constructed by integrating Daubechies functions which are compactly supported and which constitute an orthonormal basis of L2(R). Theoretical and numerical results are obt...

Comparison Results of Two-point Fuzzy Boundary Value Problems

This paper investigates the solutions of two-point fuzzy boundary value problems as the form x′′ = f(t, x(t)), x(0) = A and x(l) = B, where A and B are fuzzy numbers. There are four different solutions for the problems when the lateral type of H-derivative is employed to solve the problems. As f(t, x) is a monotone function of x, these four solutions are reduced to two different solutions. As f...

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation