Application of the Laplace transform to non-rectilinear momentary problems

Abstract

The cross presentation of the Laplace transform method and the finite variance method to one-dimensional nonaligned momentary heat conduction problems is considered. The calculation is discretized in the interplanetary area by the finite difference method. The nodal heats are at that point changed by the use of the Laplace transform method. The changed heats are reversed mathematically to get the outcomes in the corporeal measures. This report depicts that the current technique does not need to achieve a time-pacing method. Therefore the outcomes at whatever time can be calculated in the time area deprived of any sequential calculations. The current outcomes are likened in tables with those achieved by the straight variational technique and other means. However, it is observed that their outcomes are in right agreement with per capita other. It can be established that the current cross technique is consistent and efficient. Furthermore, two diverse linearization methods for the nonaligned peripheral state are examined.

Keywords: Laplace transform, finite change method, non-rectilinear momentary problems

DOI: 10.7176/ISDE/10-1-04