Use of finite difference method for numerical solution of three-dimensional heat transfer fractional differential equation

Authors

  • Gordeeva NO Belgorod State National Research University, Starooskolsky Branch 18 Solnechny microdistrict, 4 Stary Oskol, 309502, Russia
  • Manaeva EN Belgorod State National Research University, Starooskolsky Branch 18 Solnechny microdistrict, 4 Stary Oskol, 309502, Russia
  • Primak IM Belgorod State National Research University, Starooskolsky Branch 18 Solnechny microdistrict, 4 Stary Oskol, 309502, Russia
  • Palasheva II Belgorod State National Research University, Starooskolsky Branch 18 Solnechny microdistrict, 4 Stary Oskol, 309502, Russia

Keywords:

fractional differential equations, heat and mass transfer equation, numerical methods, approximation with fractional derivatives

Abstract

The paper proposes a numerical solution for the mixed problem concerning a three-dimensional heat transfer fractional differential equation, based on the finite difference method. To solve this problem, an explicit difference scheme described in the paper is used. The stability of a proposed difference scheme is proved. The case of homogeneous medium and a square grid is considered.

References

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Published

2024-02-26

How to Cite

Gordeeva, N. O., Manaeva, E. N., Primak, I. M., & Palasheva, I. I. (2024). Use of finite difference method for numerical solution of three-dimensional heat transfer fractional differential equation. COMPUSOFT: An International Journal of Advanced Computer Technology, 8(06), 3197–3200. Retrieved from https://ijact.in/index.php/j/article/view/503

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Section

Original Research Article

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