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This study investigates analytically the stability analysis of a nonlinear convective boundary layer (BL) flow of the nanofluids GO-EG and GO-W on a shrinking surface in the presence of a magnetic field and viscous dissipation. We provide a second-order nonlinear ordinary differential equation (NODE) for temperature distribution (TD) and a third-order NODE for velocity profile (VP) coupling based on the thermophysical characteristics of the base fluid and nanofluid as well as similarity transformations (STs) in the fundamental governing equations of momentum and energy. The analytical method HAM is used to answer the equations that have been gathered. In many different industries, such as manufacturing, automotive, microelectronics, and defense, cooling of various types of equipment and devices has very important challenges. To fulfill the demands of the engineering and industrial industries, it is hoped that this issue would significantly improve the heat transformation ratio. [ABSTRACT FROM AUTHOR]

All over the world, people are facing the challenge of HIV as it affects the person suffering from it, the communities and the economy of society also. A lot of work has been done on different aspects of this dangerous disease by many researchers. Our task in this work is to lighten the ignorant aspect of this disease and to provide a continuous future prediction for the spread of this virus on a larger domain. For this purpose, a modification has been done in the mathematical model of HIV C D 4 + T -cells. And a semi-analytical technique has been applied on the system of nonlinear differential equations, governing the human immunodeficiency virus i-e HIV infection, of C D 4 + T -cells, to get convergent and continuous solutions. Graphical results and residual error for the solution of the nonlinear system of differential equations are also given. [ABSTRACT FROM AUTHOR]

we use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components. The suggested technique is applied without any discretization, perturbation, transformation, and restrictive assumptions. Moreover, it is free from round off errors. Some examples are given to illustrate the implementation and efficiency of the modified variation of parameters method. [ABSTRACT FROM AUTHOR]