Numerical Solutions of Second Order Boundary Value Problems by Hermite Polynomial Methods
| Author(s) | : | Mihir Prajapati, Nitin Patel, Pragna Mistry, D.C. Joshi |
| Institution | : | Research Scholar, Department of Mathematics, Veer Narmad South Gujarat University, Surat, Gujarat,India |
| Published In | : | Vol. 7, Issue 4 — April 2020 |
| Page No. | : | 32-36 |
| Domain | : | Engineering |
| Type | : | Research Paper |
| ISSN (Online) | : | 2348-4470 |
| ISSN (Print) | : | 2348-6406 |
In this paper, we solve numerically second order linear boundary value problems by the technique ofHermite Polynomial methods. For this, we derive a simple and efficient matrix formulation using Hermite polynomials.The proposed method is tested on several numerical examples of second order linear boundary value problems withNeumann and Cauchy types boundary conditions. The approximate solutions of some examples coincide with the exactsolutions on using a very few Hermite polynomials. The approximate results, obtained by the propose method, confirmthe convergence of numerical solutions and are compared with the existing methods available in the literature.
Mihir Prajapati, Nitin Patel, Pragna Mistry, D.C. Joshi, “Numerical Solutions of Second Order Boundary Value Problems by Hermite Polynomial Methods”, International Journal of Advance Engineering and Research Development (IJAERD), Vol. 7, Issue 4, pp. 32-36, April 2020.
