Abstract
Numerical treatment of various PDEs is todays demanding area of research. In this article one of the PDEs has been simulated through two different numerical methods named mesh free the Radial basis Pseudo-spectral method (RB-PSM) and Exponential modified cubic B-Spline differential quadrature method (EMCB-DQM). Numerical results are derived using Leave-One-Out Cross-Validation (LOOCV) approach. This statistical approach is based on the concept of enhancing the positive characteristics of a mathematical model with diminishing negative aspects. Two examples of Fitzhugh-Nagumo equation represent the proposed numerical schemes by the obtained results LOOCV. Also, comparison of obtained results is also done for testing the accuracy and effectiveness of the presented different numerical methods.
Keywords: Exponential Cubic Differential quadrature method, Fitzhugh-Nagumo Equation, Radial Basis Pseudo Spectral Method, Leave-One-Out Cross-Validation approach
How to cite
Kiran Bala, Richa Rani (2025). Comparison of RBF-PS Method and EMCB-DQ Method with Numerical Simulation of Fitzhugh-Nagumo Equation using LOOCV Approach. International Journal of Mathematics and Computational Frontiers, 1(1), 54–64.