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. In this research, we propose a new method to approximate the solutions of a multidimensional dynamic quantum model named the nonlinear Schrödinger equations arising in cognitive psychology and decision making. The θ -weighted scheme is applied to discretize the time space. Afterwards, the collocation method based on Chebyshev orthogonal polynomials is implemented for solving the equations...
In this paper, a system of nonlinear ordinary differential equations (NODEs), namely the equation model of the human immunodeficiency virus (HIV) infection of $$CD4^+ T$$ CD4+T cells, is studied. Our approach is implemented by using the Shifted-Lagrangian Jacobi (SLJ) polynomials formed by Shifted-Jacobi-Gauss-Radau (SJ-GR) points. In a new insight, by applying Quasilinearization method (QLM) the...
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