Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method

Year 2019, Volume: 4 Issue: 2, 71 - 83, 31.08.2019

Muhammet Kurulay İbrahim Şentürk

https://doi.org/10.30931/jetas.614506

Abstract

In this study, fractional Burger’s Equation, which has Dirichlet Boundary Conditions, is solved with the Finite Difference Method. Fractional Burger Equation is found by S. Momani, which is made with changing time and space terms with fractional terms. This equation is solved with the finite difference method and analysis of this scheme is discussed with examples. Stability and Uniqueness are discussed with using matrix method. We compare analytical and numerical solutions with error analysis of them.

Keywords

Finite difference method, Burger’s equation, Fractional derivative

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