Free and Moving Boundary Problems of Heat and Mass Transfer


  • P Kanakadurga Devi
  • V G. Naidu
  • K Mamatha
  • B Naresh





Bisection method, interface, mass diffusion, one phase, two phase.


Bisection method is used to solve a moving boundary problem. This moving boundary problem was solved by the maze of mathematical manipulations by several authors. The method of using bisection is simple as compared to the lengthy mathematical manipulation of other methods. The procedure of the paper is useful in other moving boundary problems of heat and mass transfer, including boundary value problems involving ordinary differential equations with unknown interval length.




[1] Aliabadi MH & Ortiz EL, “Numerical treatment of moving and free boundary value problems with the Tau methodâ€, Computers & Mathematics with Applications, Vol.35, No.8, (1998), pp.53-61.

[2] Crank, J, Free and moving boundary problems, Oxford University Press, (1987).

[3] Devi PK & Naidu VG, “A New Finite Difference Front Tracking Method for Two Phase 1-D Moving Boundary Problemsâ€, Procedia Engineering, Vol.127, (2015), pp.1034-1040.

[4] Kanaka DDP, Front tracking methods for one and two phase Stefan problems, Ph.D. dissertation S.V. University, Tirupati, India, (2016).

[5] Kanaka DDP, Naidu VG & Koneru SR, “Finite Difference Method for One-dimensional Stefan Problemâ€, Journal of Advanced Research in Dynamical and Control Systems, No.3, (2018), pp.1245-1252.

[6] A Mukanbetkaliyev, S Amandykova, Y Zhambayev, Z Duskaziyeva, A Alimbetova (2018). The aspects of legal regulation on staffing of procuratorial authorities of the Russian Federation and the Republic of Kazakhstan Opción, Año 33. 187-216.

[7] Villalobos Antúnez, JV (2017). Karl R. Popper, Heráclito y la invención del logos. Un contexto para la Filosofía de las Ciencias Sociales. Opción Vol. 33, Núm. 84. 5-11

View Full Article: