Volume 26, Number 2, 185-191, DOI: 10.1007/s100120200039

A Method of Solution for the One-Dimensional Heat Equation Subject to Nonlocal Conditions

W. T. Ang

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Abstract

The problem of solving the one-dimensional heat equation partphgr/partt - part2phgr/partx2 = f(x, t) subject to given initial and nonlocal conditions is considered. It is solved in the Laplace transform domain by taking the Laplace transform of the unknown function phgr with respect to time t. The physical solution is recovered with the help of a numerical technique for inverting the Laplace transform.

Keywords  heat equation - nonlocal conditions - Laplace transform

AMS Subject Classification (1991): 35K20.

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