Symmetric Kernel-Based Approach for Elliptic Partial Differential Equation

Abstract

In this work, two globally supported and positive definite radial kernels: generalized inverse multiquadric and linear Laguerre Gaussian radial kernels were used to construct symmetric kernel-based interpolating scheme using Hermite-based symmetric approach for the solution problems involving Hermite's scattered data. Furthermore, two examples on elliptic partial differential equations to illustrate the viability of the symmetric formulation were effectively solved with comparable performance. Results were displayed inform of tables and graphs which present interesting sights for discussions and inference.

Received: 22 March 2023 | Revised: 9 May 2023 | Accepted: 23 May 2023

Conflicts of Interest

The author declares that he has no conflicts of interest to this work.