Numerical solution of three-dimensional transient heat conduction equation in cylindrical coordinates

DOI10.1155/2022/1993151zbMath1499.65437OpenAlexW4206812610MaRDI QIDQ2669956

Endalew Getnet Tsega

Publication date: 9 March 2022

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/1993151

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Uses Software

• Matlab

Cites Work

• New stable group explicit finite difference method for solution of diffusion equation
• High order difference methods for heat equation in polar cylindrical coordinates
• Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
• General explicit difference formulas for numerical differentiation
• Stability analysis of finite difference schemes revisited: A study of decoupled solution strategies for coupled multifield problems
• ON THE NUMERICAL SOLUTION OF A CYLINDRICAL HEAT-CONDUCTION PROBLEM
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• ON FINITE-DIFFERENCE SOLUTIONS OF THE HEAT EQUATION IN SPHERICAL COORDINATES
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