Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation 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...

The Linear Rational Collocation Method With Iteratively Optimized Poles for Two-Point Boundary Value Problems

Numerical Solution to Linear Singularly Perturbed Two Point Boundary Value Problems Using B-spline Collocation Method

A Recursive form cubic B-spline basis function is used as basis in B-spline collocation method to solve second linear singularly perturbed two point boundary value problem. The performance of the method is tested by considering the numerical examples with different boundary conditions. Results of numerical examples show the robustness of the method when compared with the analytical solution.

Numerical Solution of Fifth Order Boundary Value Problems by Collocation Method with Sixth Order B-Splines

Collocation method with sixth degree B-splines as basis functions has been developed to solve a fifth order special case boundary value problem. To get an accurate solution by the collocation method with sixth degree B-splines, the original sixth degree B-splines are redefined into a new set of basis functions which in number match with the number of collocation points. The method is tested for...

Existence Result and Numerical Method for Nonlinear Third-Order Two-Point Boundary Value Problems

Abstract In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions found in the literature. Reproducing kernel theorem play an important role in the arguments. And we give a constructive method for solving these problems, the numerical examples are given to...