Article citationsMore>>

Ahmed, S.G. and Mekey, M.L. (2010) A Collocation and Cartesian Grid Methods Using New Radial Basis Function to Solve Class of Partial Differential Equations. International Journal of Computer Mathematics, 87, 1349-1362.

has been cited by the following article:

• TITLE: A New Iterative Method for Multi-Moving Boundary Problems Based Boundary Integral Method

  AUTHORS: Kawther K. Al-Swat, Said G. Ahmed

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.9, September 18, 2015

  ABSTRACT: 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.