Author(s)

Kawther K. Al-Swat, Said G. Ahmed^*

Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Kingdom of Saudi Arabia.

The present paper deals with very important practical problems of wide range of applications. The main target of the present paper is to track all moving boundaries that appear throughout the whole process when dealing with multi-moving boundary problems continuously with time up to the end of the process with high accuracy and minimum number of iterations. A new numerical iterative scheme based the boundary integral equation method is developed to track the moving boundaries as well as compute all unknowns in the problem. Three practical applications, one for vaporization and two for ablation were solved and their results were compared with finite element, heat balance integral and the source and sink results and a good agreement were obtained.

Multi-Moving Boundary Problems, Vaporization Problem, Ablation Problem, Source and Sink Method, Finite Element Method, Heat Balance Integral Method, Boundary Integral Method

Al-Swat, K. and Ahmed, S. (2015) A New Iterative Method for Multi-Moving Boundary Problems Based Boundary Integral Method. Journal of Applied Mathematics and Physics, 3, 1126-1137. doi: 10.4236/jamp.2015.39140.