A theoretical investigation of steady-state concentration processes at a carrier-mediated transport model using Akbari-Ganji and differential transform methods

Ranjani, K.; Swaminathan, R.; Karpagavalli, SG.

doi:10.1016/j.padiff.2023.100594

Cited by 3 publications

(1 citation statement)

References 39 publications

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“…AGM has proven effective in addressing non-linear systems. AGM is an innovative approach of solving differential equations with algebraic expressions [18][19][20][21][22]. Many complex non-linear differential models encountered in science and engineering have been effectively addressed by utilizing the AGM.…”

Section: Approximate Analytical Expressions For the Concentration Of ...mentioning

confidence: 99%

Investigation of a Mathematical Model and Non-Linear Effects Based on Parallel-Substrates Biochemical Conversion

et al. 2024

Contemp. Math.

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According to the broad applicability and advancements made in addressing complex non-linear problems, Researchers have been actively involved in addressing the accurate approaches to solve non-linear problems in fields such as chemical science, material science, and image processing. In this paper, the Amperometric response of catalase-peroxidase (parallel-substrates) conversion has been discussed. The Mathematical model relies on a set of non-linear differential equations that describe the reaction and diffusion of the system. The analytical methods were extended to derive the approximate solution of the non-linear reaction-diffusion equation. The straightforward and concise analytical expressions for the concentrations and current of the Biosensor are developed. This study includes the computational resolution of the problem by utilizing a MATLAB program. A comparison between analytical outcomes and those derived numerically has been conducted. The analytical findings presented are dependable and offer an effective comprehension of the behaviour of this system.

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Section: Approximate Analytical Expressions For the Concentration Of ...mentioning

confidence: 99%

Investigation of a Mathematical Model and Non-Linear Effects Based on Parallel-Substrates Biochemical Conversion

et al. 2024

Contemp. Math.

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A study on analytical non-linear theory of the porous fin in heat transfer using Akbari-Ganji method

Ranjani,

Swaminathan,

Karpagavalli

2024

AIP Conference Proceedings

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Theoretical analysis of nanofluid’s random diffusion with chemical reaction over a stretchable rotating disk using Homotopy Analysis Method

Nebiyal,

Swaminathan,

Karpagavalli

2024

AIP Conference Proceedings

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A theoretical investigation of steady-state concentration processes at a carrier-mediated transport model using Akbari-Ganji and differential transform methods

Cited by 3 publications

References 39 publications

Investigation of a Mathematical Model and Non-Linear Effects Based on Parallel-Substrates Biochemical Conversion

Investigation of a Mathematical Model and Non-Linear Effects Based on Parallel-Substrates Biochemical Conversion

A study on analytical non-linear theory of the porous fin in heat transfer using Akbari-Ganji method

Theoretical analysis of nanofluid’s random diffusion with chemical reaction over a stretchable rotating disk using Homotopy Analysis Method

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