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Ananthaswamy, Vembu, Vijayalaskhmi, Venkatasubban, Anantha Jothi, Jeya. (1403). A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model. سامانه مدیریت نشریات علمی, 13(2), 432-449. doi: 10.22034/cmde.2024.60438.2586
Vembu Ananthaswamy; Venkatasubban Vijayalaskhmi; Jeya Kumar Anantha Jothi. "A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model". سامانه مدیریت نشریات علمی, 13, 2, 1403, 432-449. doi: 10.22034/cmde.2024.60438.2586
Ananthaswamy, Vembu, Vijayalaskhmi, Venkatasubban, Anantha Jothi, Jeya. (1403). 'A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model', سامانه مدیریت نشریات علمی, 13(2), pp. 432-449. doi: 10.22034/cmde.2024.60438.2586
Ananthaswamy, Vembu, Vijayalaskhmi, Venkatasubban, Anantha Jothi, Jeya. A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model. سامانه مدیریت نشریات علمی, 1403; 13(2): 432-449. doi: 10.22034/cmde.2024.60438.2586

A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model

Computational Methods for Differential Equations
مقاله 6، دوره 13، شماره 2، خرداد 2025، صفحه 432-449    اصل مقاله (593.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60438.2586
نویسندگان
Vembu Ananthaswamy* 1؛ Venkatasubban Vijayalaskhmi2؛ Jeya Kumar Anantha Jothi2
1Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
2Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
چکیده
The applications of a Reaction-Diffusion boundary value problems are found in science, biochemical applications, and chemical applications. The Ananthaswamy-Sivasankari method (ASM) is employed to solve the considered specific models like non-linear reaction-diffusion model in porous catalysts, spherical catalysts pellet, and catalytic reaction-diffusion process in a catalyst slab. An accurate semi-analytical expression for the concentrations and effectiveness factors are given in the explicit form. Graphical representations are used to display the impacts of several parameters, including the Thiele modulus, characteristic reaction rate, concentration of half-saturation, reaction order and dimensionless constant in Langmuir-Hinshelwood kinetics. The impact of numerous parameters namely the Langmuir-Hinshelwood kinetics and Thiele modulus on effectiveness factors are displayed graphically. Our semi-analytical findings shows good match in all parameters when compared to numerical simulation using MATLAB. Many non-linear problems in chemical science especially, the Reaction-Diffusion equations, Michaelis-Menten kinetic equation, can be resolved with the aid of the new approximate analytical technique, ASM.
کلیدواژه‌ها
Spherical Porous Catalyst؛ Steady-state Reaction-Diffusion equation؛ Non-linear boundary value problem؛ Ananthaswamy-Sivasankari method (ASM)؛ Numerical Simulation
مراجع
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