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
Mathematics
Finite difference method
Mathematical analysis
Uniqueness
Dirichlet boundary condition
Matrix difference equation
Central differencing scheme
Finite difference coefficient
Finite difference
Space (punctuation)
Stability (learning theory)
Boundary value problem
Applied mathematics
Partial differential equation
Finite element method
Riccati equation
Mixed finite element method
Physics
Computer science
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Numerical methods in engineering
·Mechanics of Materials ·Physical Sciences
Differential Equations and Numerical Methods
·Numerical Analysis ·Physical Sciences
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