Numerical Solution of a Singularly - Perturbed Boundary-Value Problems by Using A Non-Polynomial Spline
Provides improved numerical methods for solving singularly perturbed boundary value problems, which are important in fluid dynamics and other applied fields.
The paper develops second and fourth order accurate methods using non-polynomial cubic splines for solving singularly perturbed two-point boundary value problems, demonstrating efficiency through numerical comparisons with existing methods.
We consider a non-polynomial cubic spline to develop the classes of methods for the numerical solution of singularly perturbed two-point boundary value problems. The proposed methods are second and fourth order accurate and applicable to problems both in singular and non-singular cases. Numerical results are given to illustrate the efficiency of our methods and compared with the methods given by different authors.