Application of hybrid Laplace transform/finite-difference method to transient heat conduction problems
Abstract
A new method which combines the Laplace transform and the finite-difference method is proposed to solve two- and three-dimensional linear transient heat conduction problems. The method eliminates the time dependences from the governing differential equations and boundary conditions by using the Laplace transform and then solves the transformed equations with the finite difference method. The method can also be employed to calculate the specific nodal temperature at a specific time.
- Publication:
-
Numerical Heat Transfer
- Pub Date:
- 1988
- Bibcode:
- 1988NumHT..14..343C
- Keywords:
-
- Boundary Integral Method;
- Conductive Heat Transfer;
- Finite Difference Theory;
- Laplace Transformation;
- Transient Heating;
- Algorithms;
- Boundary Conditions;
- Fourier Series;
- Numerical Analysis;
- Surges;
- Fluid Mechanics and Heat Transfer