In this paper, a reliable implicit di erence scheme is proposed to analyze the fractional fourth-order subdi usion equation on a bounded domain. The time-fractional derivative operator is characterized in the Ji Huan He's sense, and the space derivative is approximated by the ve-point centered formula. The numerical parameters, i.e. consistency, stability, and convergence analyses of the considered scheme, are proven.
Sayevand, K., & Arjang, F. (2017). A reliable implicit difference scheme for treatments of fourth-order fractional sub-diffusion equation. Scientia Iranica, 24(3), 1100-1107. doi: 10.24200/sci.2017.4092
MLA
K. Sayevand; F. Arjang. "A reliable implicit difference scheme for treatments of fourth-order fractional sub-diffusion equation". Scientia Iranica, 24, 3, 2017, 1100-1107. doi: 10.24200/sci.2017.4092
HARVARD
Sayevand, K., Arjang, F. (2017). 'A reliable implicit difference scheme for treatments of fourth-order fractional sub-diffusion equation', Scientia Iranica, 24(3), pp. 1100-1107. doi: 10.24200/sci.2017.4092
VANCOUVER
Sayevand, K., Arjang, F. A reliable implicit difference scheme for treatments of fourth-order fractional sub-diffusion equation. Scientia Iranica, 2017; 24(3): 1100-1107. doi: 10.24200/sci.2017.4092
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