In this paper, the analytical solution of a viscous and incompressible fluid towards an exponentially stretching porous sheet with surface heat flux in porous medium, for the boundary layer and heat transfer flow, is presented. The equations of continuity, momentum and the energy are transformed into non-linear ordinary differential by using similarity transformation. The solutions of these highly non-linear ordinary differential equations are found analytically by means of Homotopy Analysis Method (HAM). The result obtained by HAM is compared with numerical results presented in the literature. The accuracy of the HAM is indicated by close agreement of the two sets of results. By this method, an expression is obtained which is admissible for all values of effective parameters. This method has the ability to control the convergence of the solution.
In this paper, we used Lyapunov theory and Linear Matrix Inequalities (LMI) to design a generalized observer by adding more complexity in the output of the dynamic systems. Our designed observer is based on the optimization problem, minimizing error between trajectories of master and slave systems subject to the incremental quadratic constraint. Moreover, an algorithm is given in our paper used to demonstrate a method for obtaining desired observer and gain matrixes, whereas these gain matrixes are obtained with the aid of LMI and incremental multiplier matrix (IMM). Finally, discussion of two examples are an integral part of our study for the explanation of achieved analytical results using MATLAB and SCILAB.
Failure of therapy is a result of bad adherence medication. Non-adherence to therapy is a major factor that is suspected to result in uncontrolled blood pressure in hypertensive patients resulting in more serious complications. Therefore it is important to increase the adherence rate of treatment in patients with hypertension in the treatment process. For this reason, the need for interventions to improve adherence with several aspects that can be changed. This study uses One Group Pretest-Posttest Design using 100 samples. Data derived from questionnaires containing 25 items of adherence to therapy, 5 items of knowledge, 4 items of trust, 3 items of motivation, 10 items of family support with nonparametric statistical tests used were Mc Nemar test. Mc Nemar test results indicate that there is a significant difference between adherence at the pre-test and at the post-test after counseling with a significance value (p = 0,000). The results also showed that there was a difference in knowledge with a significance value (p = 0.001), motivation with a value (p = 0.031) and family support with a value (p = 0,000). The education with counseling about knowledge, trust, motivation and family support is effective in increasing compliance. There are other changeable factors such as lifestyle education, patient doctor relationships, and the use of smartphone applications for self-reported therapy can improve adherence in patients thereby minimizing therapy failure. Other educational methods that can be used besides counseling are counseling and dissemination of social media information.
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