As a first step to analyze the inverse kinetic of adsorption, an inverse algorithm
is developed to estimate equilibrium adsorption isotherm in a gas storage vessel by using
the dynamic transient internal pressure. In the present study, no prior information is need
for the functional form of the unknown isotherm equation to solve continuity equation.
The conjugate gradient method is employed for optimization procedure. The incremental
differential quadrature method as a computationally efficient and accurate numerical tool
is applied to solve the corresponding direct, sensitivity and adjoint problems. The accuracy
of the presented approach is examined by simulating the exact data of known model. Good
accuracy of the obtained results validates the presented approach