Abstract
In this paper, the quasilinearization and Lagrangian methods are used for solving a model of the HIV infection of CD4 $$^+$$ T cells. This approach is based on the Lagrangian method by using the collocation points of transformed Hermite polynomials. The quasilinearization method is used for converting the non-linear problem to a sequence of linear equations and the Hermite Lagrangian method is applied for solving linear equations at each iteration. In the end, the obtained results have been compared with some other well-known results and show that the present method is efficient.
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