Numerical Method of Linear Hyperbolic Partial Differential Equation by Finite Difference Method with Conservation Law

Abstract

In this paper, the authors construct a worthwhile numerical method to find the solution of hyperbolic system of conservation law in partial Differential equation using an advection equation. Linear-advection describes the motion of some conserved quality in the field where the velocity is persistant. The authors construct the integral form of conservation law and discuss their speed which extends it’s limit to diffusion.