A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation-Reference-Cited by-同舟云学术

A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

Published:2021-06-11 Issue: Volume: Page:1-27
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Sadri Khadijeh¹,Aminikhah Hossein²

Affiliation:

1. Department of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences,, University of Guilan, P.O. Box 41938-19141, Rasht, Iran

2. Center of Excellence for Mathematical Modelling, Optimization and Combinational Computing (MMOCC), University of Guilan, P.O. Box 41938-19141, Rasht, Iran

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2021.1940977

Reference36 articles.

1. Galue, L., Kalla, S.L., Al-Saqabi, B.N. Fractional extensions of the temperature field problems in oil strata. Appl. Math. Comput. 186(1) (2007) 35–44.

2. Soon, C.M., Coimbra, C.F.M., Kobayashi, M.H. The variable viscoelasticity operator. Ann. Phys. 14(2005) 378–389.

3. Ingman, D., Suzdalnitsky, J. Control of damping oscillations by fractional differential operator with time-dependent order. Comput. Methods. Appl. Mech. Eng. 193(52) (2004) 5585–5595.

4. Ostalczyk, P.W., Duch, P., Brzezinski, D.W., Sankowski, D. Order functions selection in the variable fractional-order PID controller. Advances in Modelling and Control of Non-integer Order Systems. Lecture Notes. Electr. Eng. 320 (2015) 159–170.

5. Li, Z., Wang, H., Xiao, R., Yang, S. A variable-order fractional differential equation model of shape memory polymers. Chaos Solitons Fract. 102 (2017) 473–485.

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