In this paper, for the first time, we introduce a new wavelet called the Muntz–Kajani wavelet. We also study how to approximate a function by using these wavelets and provide an error bound. Then we use the collocation method based on the Muntz–Kajani wavelet to numerically solve a system of fractional differential equations. The accuracy of the solution is also assessed. To show how well the method works in practice, we apply it to investigate how HIV infects CD4+T cells. Numerical results are also given to demonstrate the efficiency and Cauchy convergence of the proposed method.
Kareem Mnahi, A. , Tavassoli Kajani, M. , Jasim Mohammed, M. and Allame, M. (2025). Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.66682.3140
MLA
Kareem Mnahi, A. , , Tavassoli Kajani, M. , , Jasim Mohammed, M. , and Allame, M. . "Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.66682.3140
HARVARD
Kareem Mnahi, A., Tavassoli Kajani, M., Jasim Mohammed, M., Allame, M. (2025). 'Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.66682.3140
CHICAGO
A. Kareem Mnahi , M. Tavassoli Kajani , M. Jasim Mohammed and M. Allame, "Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.66682.3140
VANCOUVER
Kareem Mnahi, A., Tavassoli Kajani, M., Jasim Mohammed, M., Allame, M. Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.66682.3140
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