NON-LINEAR PARTIAL DIFFERENTIAL EQUATION BY IMPLEMENTING STANDARD AND NON-STANDARD VARIANCE SCHEME

Abstract

In this study, the nonlinear Partial Differential Equation issue is solved using our nonstandard finite variance scheme. This section of the article will introduce the lemma for the discretization equation related to the positivity and roundedness requirements. Partial Differential equations are necessary in many engineering and research fields. The physical properties of their solutions are often diverse. We systematically develop unique non-standard finite difference techniques that reproduce three of these properties. The first feature is whether the fixed points of the associated universe independent equation are stable or unstable. Numerical experiments are provided.