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Reaction Diffusion Control problem is a class of optimization problem in the formMinimize  avt  butdt Subject to v t  u t  cvt  dut .It has been proved that a unique solution exists. In this work, the solution provided by ECGMand Euler-Lagrange algorithm, are admissible and favourably comparable

Comparative Analysis of Extended Conjugate Method (ECGM) and Euler-Lagrange (E-L) Algorithms for Reaction Diffusion Problem