New Wavelet Method for Solving Boundary Value Problems Arising From an Adiabatic Tubular Chemical Reactor Theory
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
Abstract
This paper displays an efficient numerical technique of realizing mathematical models for an adiabatic tubular chemical reactor which forms an irreversible exothermic chemical reaction. At a steady-state solution for an adiabatic rounded reactor, the model can be diminished to a conventional nonlinear differential equation which converts into a system of the nonlinear equation that can proceed numerically utilizing Newton's iterative method. An operational matrix of coordination is derived and is utilized to decrease the model for an adiabatic tubular chemical reactor to an arrangement of algebraic equations. Simple execution, basic activities, and precise arrangements are the fundamental highlights of the proposed wavelet technique. The numerical solutions attained by the present technique have been contrasted and compared with other techniques.
Description
Ali, Mohamed/0000-0002-0795-0709
ORCID
Keywords
Taylor Wavelets Technique, Chemical Reactor, Operational Matrix Of Integration, Scaling And Wavelet Functions, Multiresolution Analyses, Systems of singular linear integral equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, chemical reactor, Numerical methods for wavelets, operational matrix of integration, Taylor wavelets technique, multiresolution analyses, Classical flows, reactions, etc. in chemistry, scaling and wavelet functions
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Ali, Mohamed R.; Baleanu, Dumitru (2020). "New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory", INTERNATIONAL JOURNAL OF BIOMATHEMATICS, Vol. 13, No. 7.
WoS Q
Q3
Scopus Q
Q1

OpenCitations Citation Count
7
Source
International Journal of Biomathematics
Volume
13
Issue
7
Start Page
End Page
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Citations
Scopus : 8
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