The prevalence of HIV/AIDS remains a significant global health concern, including in Malaysia. In this study, a mathematical model was developed to simulate the dynamics of HIV transmission and progression within the Malaysian population. The model incorporates various factors such as population size, infection rate, progression to AIDS, recruitment, natural death, and death due to the disease. Heun's predictor-corrector method was applied to numerically solve the model equations and predict the population of susceptible individuals, infected individuals, and AIDS cases over time. Real-world data on HIV/AIDS cases in Malaysia were used to validate the model and provide accurate predictions. The results indicated a gradual decline in the number of susceptible individuals and an increase in the number of infected individuals and AIDS cases over the simulation period. These findings can contribute to a better understanding of the dynamics of HIV/AIDS transmission in Malaysia and aid in th.....

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This work examines the thermal diffusivity properties of four different materials, ceramic, stainless steel, plastic, and glass, using the one-dimensional heat equation's Initial Boundary Value Problem (IBVP) framework. We investigate the transient thermal behaviour of these materials using numerical techniques like the Crank-Nicolson method and the explicit FTCS (Forward-Time Central-Space) method. We perform simulations and analyse heat transfer dynamics and temperature distributions using Python implementations with uniform step sizes. According to our research, there are notable differences in the thermal diffusivity performance of the materials, with stainless steel showing better conductive qualities. Furthermore, a look at the midpoint temperature profiles of the cups provides information on the thermal and temporal dynamics. A comparison of the Crank-Nicolson and FTCS approaches shows how effective the latter is in producing precise and stable solutions. The study contributes t.....

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