TY  - JOUR
T1  - Deriving the General Laplace Inversion Formula using Complex Integration
Results and its Applications in Solving Partial Differential Equations
AU - Rasheed, Maan A. AU - Sabri, Mustafa A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 10
SP  - 3455
EP  - 3462
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.3455.3462
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.3455.3462
KW  - Laplace transform
KW  -inversion formula
KW  -heat conduction
KW  -Cauchy integral formula
KW  -Neumann
boundary conditions
KW  -equations
AB  - This study is concerned with Laplace transform and its applications to partial differential equations. We derive the general Laplace inversion formula using some complex analysis results. Furthermore, we apply
this formula to find the formal solution of a heat conduction problem which is heat equation with Neumann boundary conditions. We conclude that Laplace transforms with the inversion formula provide a potent
technique for solving partial differential equations.
ER  -