THERMAL SCIENCE

International Scientific Journal

Najeeb Alam Khan

,

Tooba Hameed

,

Muhammad Ayaz

,

Oyoon Abdul Razzaq

THE REACTION DIMERIZATION: A RESOURCEFUL SLANT APPLIED ON THE FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

ABSTRACT
The paper presents an analysis to investigate the time-fractional coupled diffusion equation with nonlinear reaction subject to piecewise initial conditions. The governance system is determined analytically, and numerically adopting an Artificial Neural Network (ANN) taking the Caputo fractional derivative. In this scheme, the differential equations are transformed into an optimization problem, and minimize the problem by using sophisticated computer simulation Nelder-Mead algorithm (NMA). Finally, an experiment has been executed in the application of o-phenylenedioxy-dimethylsilane reaction dimerization which is a trial solution of resources as coefficients. The obtained solution is analyzed by tabulation of numerical values and plotting time based graphs. The novelty of the solution will be provided by comparison with the previous work in the literature as a special case. The numerical outcomes demonstrate the momentous features, efficiency and reliability of the approach.
KEYWORDS
reaction dimerization, the neural network, fractional calculus
PAPER SUBMITTED: 2019-07-02
PAPER REVISED: 2019-10-04
PAPER ACCEPTED: 2019-10-11
PUBLISHED ONLINE: 2019-11-02
DOI REFERENCE: https://doi.org/10.2298/TSCI190702399A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2095 - S2105]
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The reaction dimerization: A resourceful slant applied on the fractional partial differential equation

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