Comparative Analysis of Extended Conjugate Method (ECGM) and Euler-Lagrange (E-L) Algorithms for Reaction Diffusion Problem
J. O. Omolehin
Mathematics Department, University of Ilorin, Ilorin, Nigeria
K. Rauf *
Mathematics Department, University of Ilorin, Ilorin, Nigeria
O. Abikoye
Computer Science Department, University of Ilorin, Ilorin, Nigeria
O. Enikuomehin
Computer Science Department, Lagos State University, Lagos, Nigeria
S. O. Sogunro
Mathematics and Statistics Department, Lagos State Polytechnics, Lagos, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Reaction Diffusion Control problem is a class of optimization problem in the form
Minimize 
Subject to 
It has been proved that a unique solution exists. In this work, the solution provided by ECGM
and Euler-Lagrange algorithm, are admissible and favourably comparable.
Keywords: ECGM, Euler-Lagrange, Diffusion, Control, Convergence rate