Numerical Simulations for the Space-Time Variable Order Nonlinear Fractional Wave Equation

The explicit finite-difference method for solving variable order fractional space-time wave equation with a nonlinear source term is considered. The concept of variable order fractional derivative is considered in the sense of Caputo. The stability analysis and the truncation error of the method are...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.793-799-482
Main Authors: Sweilam, Nasser Hassan, Assiri, Taghreed Abdul Rahman
Format: Article
Language:English
Subjects:
Computer simulation
Derivatives
Differential equations, Nonlinear
Finite difference method
Finite element analysis
Heat transfer
Laplace transforms
Mathematical analysis
Mathematical models
Mathematical research
Nonlinearity
Numerical analysis
Space and time
Studies
Truncation errors
Variables
Variables (Mathematics)
Wave equation
Wave equations
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Summary:The explicit finite-difference method for solving variable order fractional space-time wave equation with a nonlinear source term is considered. The concept of variable order fractional derivative is considered in the sense of Caputo. The stability analysis and the truncation error of the method are discussed. To demonstrate the effectiveness of the method, some numerical test examples are presented.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/586870