2009•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

Laplace transform method for one-dimensional heat and wave equations with nonlocal conditions

D. Bahuguna, Syed Abbas, R. K. Shukla

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Abstract

In this paper we discuss the one dimensional heat equation and the wave equation subject to nonlocal conditions. We use the method of Laplace transforms. Finally, we obtain the solution by using a numerical technique for inverting the Laplace transforms.

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Key concepts: Laplace transform, Laplace transform applied to differential equations, Heat equation, Green's function for the three-variable Laplace equation, Laplace's equation, Two-sided Laplace transform, Mellin transform, Mathematics