Abstract
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.
Citation
Nasser Hassan Sweilam. Taghreed Abdul Rahman Assiri. "Numerical Simulations for the Space-Time Variable Order Nonlinear Fractional Wave Equation." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/586870
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