Optimal solution of some two-point boundary value problem

F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM

We propose a fuzzy-based approach aiming at finding numerical solutions to some classical problems. We use the technique of F-transform to solve a second-order ordinary differential equation with boundary conditions. We reduce the problem to a system of linear equations and make experiments that demonstrate applicability of the proposed method. We estimate the order of accuracy of the proposed ...

Application of variational iteration method for solving singular two point boundary value problem

DEA methodology allows DMUs to select the weights freely, so in the optimalsolution we may see many zeros in the optimal weight. to overcome this prob-lem, there are some methods, but they are not suitable for evaluating DMUswith fuzzy data. In this paper, we propose a new method for solving fuzzyDEA models with restricted multipliers with less computation, and comparethis method with Liu''''''...

On the Solution of Troesch’s Nonlinear Two-Point Boundary Value Problem Using an Initial Value Method

‎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...

NON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM

Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...