TRANSFORMASI LAPLACE DIMENSI DUA DAN BEBERAPA APLIKASINYA; ( TWO DIMENSIONAL LAPLACE TRANSFORM AND SOME APPLICATIONS )

Oktaviani, Kartika Nur, Lina Aryati

2015 | Skripsi | FMIPA

In this final task, we discuss about two dimensional Laplace transform and its application to solve initial and boundary value problems at one dimensional heat and wave equation. The discussions begin with basic concept about differential equation, initial and boundary condition, one dimensional Laplace transform, and also find the inverse of one dimensional Laplace transform formula. For calculating inverse of Laplace transform, we consider the contour integration, singularity, residue, Dirac Delta function, and Gamma function. Furthermore, we consider the two dimensional Laplace transform and some theorem that can be applied in it. For knowing some purpose of two dimensional Laplace transform, we discuss about initial and boundary value problem of one dimensional heat and wave equation that can be solved by this transformation.

Kata Kunci : N