The following thesis describes the concept, application and result obtained on applyingstochastic calculus to solve thermal conduction and boundary layer problems.Ito’s lemma is the framework in obtaining the desired results. Different cases provideddifferent results and every one of them was compared with the cases in analyticalsolution pertaining to the respective governing parameters.The solutions obtained through the stochastic process appears to reasonably conformwith their analytical counterparts. There are small regions of anomaly, near theboundary, where the difference in temperature is highly noticeable. A few methodsto tackle these regions of anomaly are mentioned in the later chapters.Considering that the results are reasonably accurate and observing its potentialstrength to solve thermal boundary layers with precision and at less computationexpense, stochastic solutions would be greatly useful in the direction of mesh-freeanalysis of thermal transport problems.