Biological sex plays an important role in normal cardiac physiology as well as in the heart's response to cardiac disease. Women generally have better cardiac function and survival than do men in the face of cardiac disease; however, this is progressively lost when comparing postmenopausal women with age matched men. Animal model of cardiac disease mirror what is seen in humans. Sex hormones contribute significantly to sex based difference in cardiac functioning and in its disease outcome. Estrogen is considered to be cardioprotective, whereas testosterone is detrimental to heart function.
This paper presents numerical solutions of first order linear fuzzy differential equations using Leapfrog method. The obtained discrete solutions are compared with single-term Haar wavelet series (STHWS) method [1]. Error graphs and error calculation tables are presented to highlight the efficiency of the Leapfrog method. This method can be implemented in the digital computers and take any time of solutions.
In this paper, We develop the Leapfrog method for solving hybrid fuzzy differential equations (HFDE) based on the generalized concept of higherorder fuzzy differentiability [19]. The obtain discrete solutions were compared with another method taken from the literature [19]. The new method has a lower computational cost which effects the time consumption. We assume that the fuzzy function and its derivative are Hukuhara differentiable. The numerical example was given to illustrate the efficiency of the method.
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