Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Abstract
This paper deals with the application of fourth kind Chebyshev wavelets (FKCW) in solving numerically a model of HIV infection of CD4+T cells involving Caputo fractional derivative. The present problem is a system of nonlinear fractional differential equations. The goal is to approximate the solution in the form of FKCW truncated series. To do this, an operational matrix of fractional integration is constructed for these wavelets. This matrix transforms the problem to a nonlinear system of algebraic equations. Solving the new system, enables one to identify the unknown coeffcients of expansion. Numerical results are compared with other existing methods to illustrate the applicability of the method.
Deilami Azodi, H., & Yaghouti, M. R. (2018). A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells. Computational Methods for Differential Equations, 6(3), 353-371.
MLA
Haman Deilami Azodi; Mohammad Reza Yaghouti. "A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells". Computational Methods for Differential Equations, 6, 3, 2018, 353-371.
HARVARD
Deilami Azodi, H., Yaghouti, M. R. (2018). 'A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells', Computational Methods for Differential Equations, 6(3), pp. 353-371.
VANCOUVER
Deilami Azodi, H., Yaghouti, M. R. A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells. Computational Methods for Differential Equations, 2018; 6(3): 353-371.
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