Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method

Letícia Helena Paulino de Assis; Estaner Claro Romão

doi:https://doi.org/10.14445/22315373/IJMTT-V46P521

International Journal of Mathematics Trends and Technology

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Volume 46 | Number 3 | Year 2017 | Article Id. IJMTT-V46P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P521

Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method

Letícia Helena Paulino de Assis, Estaner Claro Romão

Abstract

This paper aims to apply the Fourth Order Finite Difference Method to solve the one-dimensional Convection-Diffusion equation with energy generation (or sink) in in cylindrical and spherical coordinates.

Keywords

Central Difference Method, Cylindrical and Spherical coordinates, Numerical Simulation, Numerical Efficiency.

References

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Citation :

Letícia Helena Paulino de Assis, Estaner Claro Romão, "Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 3, pp. 125-128, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P521