- Journal of Engineering Technology and Applied Sciences
- Vol: 4 Issue: 2
- Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method
Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method
Authors : Muhammet Kurulay, Ibrahim Şentürk
Pages : 71-83
Doi:10.30931/jetas.614506
View : 14 | Download : 8
Publication Date : 2019-08-31
Article Type : Research
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