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New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory

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2020

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World Scientific Publ Co Pte Ltd

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Matematik
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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.

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Ali, Mohamed/0000-0002-0795-0709

Keywords

Taylor Wavelets Technique, Chemical Reactor, Operational Matrix Of Integration, Scaling And Wavelet Functions, Multiresolution Analyses

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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.

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13

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7

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