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Chemical Engineering Communications Volume 202, 2015 - Issue 8
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Original Articles

On the Solution of Non-Isothermal Reaction-Diffusion Model Equations in a Spherical Catalyst by the Modified Adomian Method

Randolph RachEmeritus, Independent Researcher, Hartford, Michigan, USA
,
Jun-Sheng DuanSchool of Sciences, Shanghai Institute of Technology, Shanghai, P.R. ChinaCorrespondence[email protected]
&
Abdul-Majid WazwazDepartment of Mathematics, Saint Xavier University, Chicago, Illinois, USA
Pages 1081-1088 | Published online: 07 Apr 2015

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M. Danish, M. Mubashshir & S. Zaidi. (2018) An Improved Restarted Adomian-based Solution for the Minimum Reflux Ratio of Multicomponent Distillation Columns. Indian Chemical Engineer 60:2, pages 107-121.
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Hooman Fatoorehchi & Salih Djilali. (2022) Stability analysis of linear time-invariant dynamic systems using the matrix sign function and the Adomian decomposition method. International Journal of Dynamics and Control 11:2, pages 593-604.
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Nasibeh Karamollahi, Mohammad Heydari, Ghasem Barid Loghmani & Amit K. Verma. (2022) An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems. Applied Numerical Mathematics 182, pages 265-284.
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M. Sivakumar, R. Senthamarai, L. Rajendran & M.E.G. Lyons. (2022) Reaction and Kinetic Studies of Immobilized Enzyme Systems: Part-I Without External Mass Transfer Resistance. International Journal of Electrochemical Science 17:11, pages 221159.
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M. Sivakumar, R. Senthamarai, L. Rajendran & M.E.G. Lyons. (2022) Reaction and Kinetics Studies of Immobilized Enzyme Systems: PartII With External Mass Transfer Resistance. International Journal of Electrochemical Science 17:10, pages 221031.
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Abdul Hamid Ganie, Irfan Ur Rahman, Muhammad Sulaiman & Kamsing Nonlaopon. (2022) Solution of Nonlinear Reaction-Diffusion Model in Porous Catalysts Arising in Micro-Vessel and Soft Tissue Using a Metaheuristic. IEEE Access 10, pages 41813-41827.
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Yin-shan Yun & Hui Liu. (2021) New approximate analytical solution of the large deflection problem of an uniformly loaded thin circular plate with edge simply hinged. Alexandria Engineering Journal 60:6, pages 5765-5770.
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Vivek Mani Tripathi, Hari Mohan Srivastava, Harendra Singh, Chetan Swarup & Sudhanshu Aggarwal. (2021) Mathematical Analysis of Non-Isothermal Reaction–Diffusion Models Arising in Spherical Catalyst and Spherical Biocatalyst. Applied Sciences 11:21, pages 10423.
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Saurabh Tomar. (2021) A Rapid-Converging Analytical Iterative Scheme for Solving Singular Initial Value Problems of Lane–Emden Type. International Journal of Applied and Computational Mathematics 7:3.
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Harendra Singh & Abdul-Majid Wazwaz. (2021) Computational Method for Reaction Diffusion-Model Arising in a Spherical Catalyst. International Journal of Applied and Computational Mathematics 7:3.
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Mo Faheem, Arshad Khan & E. R. El-Zahar. (2020) On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena. Advances in Difference Equations 2020:1.
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Hooman Fatoorehchi & Randolph Rach. (2020) A method for inverting the Laplace transforms of two classes of rational transfer functions in control engineering. Alexandria Engineering Journal 59:6, pages 4879-4887.
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Desmond Adair & Martin Jaeger. (2020) In-Plane Free Vibration Analysis of a Scimitar-Type Rotating Curved Beam Using the Adomian Modified Decomposition Method. Mathematical and Computational Applications 25:4, pages 68.
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Iftikhar Ahmad, Hira Ilyas, Aysha Urooj, Muhammad Saeed Aslam, Muhammad Shoaib & Muhammad Asif Zahoor Raja. (2019) Novel applications of intelligent computing paradigms for the analysis of nonlinear reactive transport model of the fluid in soft tissues and microvessels. Neural Computing and Applications 31:12, pages 9041-9059.
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Randhir Singh. (2018) Optimal homotopy analysis method for the non-isothermal reaction–diffusion model equations in a spherical catalyst. Journal of Mathematical Chemistry 56:9, pages 2579-2590.
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Zhaohui Wu, Shuanglei Yang & Wei Wu. (2016) Application of temperature cycling for crystal quality control during crystallization. CrystEngComm 18:13, pages 2222-2238.
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Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami, Randolph Rach & Sebastian von Freeden. (2015) A novel and computationally efficient algorithm for stability analysis of multi input-multi output process control systems. Korean Journal of Chemical Engineering 32:9, pages 1733-1743.
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Hooman Fatoorehchi, Reza Zarghami, Hossein Abolghasemi & Randolph Rach. (2015) Chaos control in the cerium-catalyzed Belousov–Zhabotinsky reaction using recurrence quantification analysis measures. Chaos, Solitons & Fractals 76, pages 121-129.
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Hooman Fatoorehchi, Hossein Abolghasemi & Randolph Rach. (2015) A new parametric algorithm for isothermal flash calculations by the Adomian decomposition of Michaelis–Menten type nonlinearities. Fluid Phase Equilibria 395, pages 44-50.
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