2020•Indonesian Journal of Information SystemsOpen access

Effects of a Logistic Reaction to Finite Difference Numerical Solutions of the Inviscid Burgers Equation

Sudi Mungkasi

Abstract

We solve the inviscid Burgers equation involving a logistic reaction. The goal is to investigate the effects of the logistic reaction to numerical solutions of the inviscid Burgers equation. We use standard and nonstandard finite difference methods. Based on our research results, the logistic reaction in the inviscid Burgers equation makes the shock wave propagates faster.

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Key concepts: Inviscid flow, Burgers' equation, Mathematics, Logistic function, Finite difference, Shock (circulatory), Mathematical analysis, Partial differential equation