Solution of some parabolic inverse problems by homotopy analysis method

Ogugua Onyejekwe
2013 International Journal of Applied Mathematical Research  
In this paper, three types of parabolic inverse problems are solved by homotopy analysis method (HAM). In order to solve these types of problems, an overspecified boundary condition is given. There are advantages to using HAM, firstly it is independent of small/large physical parameters, there is always a guarantee of convergence; there is flexibility on the choice of base function and initial guess of solution and lastly there is great generality. The numerical results obtained from this
more » ... ned from this method indicate high accuracy and a strong rate of convergence.
doi:10.14419/ijamr.v3i1.1826 fatcat:gncf646wxzbuji43kdj4kz5fna