Solving an inverse heat conduction problem by reduced differential transform method

Abstract

In this paper, the inverse problem of determining an unknown boundary condition in an inverse heat conducton problem is

considered. The reduced differential transform method is presented for recovering the unknown functions and obtaining a solution of the

problem. This technique doesn’t require any discretization, linearization or small perturbations. Finally, some examples are presented

to illustrate the ability and efficiency of the present approach.

Keywords

• Heat conduction problem,Inverse problem,Neumann boundary condition,Reduced differential transform method

References

1. Beck, J. V., Blackwell, B., St-Clair, C. R., Inverse Heat Conduction Ill-Posed Problems, John Wiley Int Sc, 1985.