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Revisiting Reaction-Diffusion Process in a Porous Catalyst: Improving the Adomian Solution

Limitations of the recently developed Adomian solution for the reaction-diffusion process in a porous catalyst slab have been demonstrated and an improved solution, overcoming these restrictions, has been proposed by using a novel scheme of Restarted Adomian method coupled with orthogonal polynomials. The results obtained from this approach have been compared with those obtained by Adomian and other methods and are found to be superior to them. The present results are commendable in the sense that not only the primary but the derived quantities as well, match accurately with their exact numerical counterparts. The scheme is attractive since short analytical expressions with impressive accuracy can be obtained without generating higher Adomian polynomials which are difficult to form; besides, this scheme is also applicable to other similar problems. This validates the general and effective nature of the present approach.