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

作者:Sweilam Nasser Hassan*; Assiri Taghreed Abdul Rahman
来源:Journal of Applied Mathematics, 2013, 2013: 586870.
DOI:10.1155/2013/586870

摘要

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.

  • 出版日期2013