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

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Journal of Engineering Technology and Applied Sciences
Volume: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, İbrahim ŞENTÜRK

Pages : 71-83

Doi:10.30931/jetas.614506

View : 32 | Download : 8

Publication Date : 2019-08-31

Article Type : Research Paper

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, Burgers equation, Fractional derivative

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