Solution of some parabolic inverse problems by homotopy analysis method

Authors

  • Ogugua Onyejekwe Eastern Florida State College

DOI:

https://doi.org/10.14419/ijamr.v3i1.1826

Published:

2014-02-25

Abstract

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 method indicate high accuracy and a strong rate of convergence.

 

Keywords: Control Function, Homotopy Analysis Method, One-Dimensional Heat Equation, Parabolic Inverse Problem.

Author Biography

Ogugua Onyejekwe, Eastern Florida State College

Dr. Ogugua Nkoli Onyejekwe is currently  faculty member at Eastern Florida State College, Mathematics Department, Cocoa, Florida, USA and an adjunct faculty at Florida Institute of Technology at the Mathematics Department. She holds a Master’s degree in Applied Mathematics and a Doctorate degree in Applied Mathematics from Florida Institute of Technology, Florida, USA. Her recent journal publications include “Numerical solutions of the one-phase classical Stefan problem using an enthalpy green element formulation,” Advances in Engineering Software - AES, vol. 42, no. 10, pp. 743-749, 2011; and “A Nonlinear Integral Formulation for a stream-Aquifer Interaction Flow Problem,” International Journal of Nonlinear Science , vol. 15, no.1, pp. 15-26, 2013.

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