Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 293, Issue -, Pages 104-114Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.12.043
Keywords
Telegraph equation; Fractional variable order derivative; Crank-Nicholson scheme; Stability; Convergence
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In this work, we have generalized the time-fractional telegraph equation using the concept of derivative of fractional variable order. The generalized equation is called time-fractional variable order telegraph equation. This new equation was solved numerically via the Crank-Nicholson scheme. Stability and convergence of the numerical solution were presented in details. Numerical simulations of the approximate solution of the time-fractional variable order telegraph equation were presented for different values of the grid point. (C) 2014 Elsevier Inc. All rights reserved.
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