Journal of Scientific and Technical Research (Sharda University, Noida)

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Computational Solution Of One Dimensional Diffusion Equation With Fixed Limits


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1 Department Of Mathematics, SBSR Sharda University, Greater Noida, Uttar Pradesh, India
     

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This paper presents a model for the mathematical description of the diffusion process, as well as an attempt to use Green’s function approach to solve the one-dimensional diffusion equation within the necessary bounds. By studying the initial condition for, we will be able to obtain the appropriate solution to this diffusion equation. With a constant diffusion coefficient, this equation represents the rate of change of concentrations of substances in their own lattice or in separate substances. Finally, numerical answers will be obtained via a computational approach. Because we consider t = 0 throughout the equation, the result can also be applied to an isothermal diffusion.

Keywords

Diffusion Process, Fick’s Law, Green’s Function Method, Mathematical Modelling Of Diffusion Process, Thermal Diffusion.
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  • Computational Solution Of One Dimensional Diffusion Equation With Fixed Limits

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Authors

Alpna Mishra
Department Of Mathematics, SBSR Sharda University, Greater Noida, Uttar Pradesh, India

Abstract


This paper presents a model for the mathematical description of the diffusion process, as well as an attempt to use Green’s function approach to solve the one-dimensional diffusion equation within the necessary bounds. By studying the initial condition for, we will be able to obtain the appropriate solution to this diffusion equation. With a constant diffusion coefficient, this equation represents the rate of change of concentrations of substances in their own lattice or in separate substances. Finally, numerical answers will be obtained via a computational approach. Because we consider t = 0 throughout the equation, the result can also be applied to an isothermal diffusion.

Keywords


Diffusion Process, Fick’s Law, Green’s Function Method, Mathematical Modelling Of Diffusion Process, Thermal Diffusion.

References