Multi-dimensional Laplace transforms and applications

Miscellaneous · Fri Jan 01 00:00:00 EST 1988

OSTI ID:7000513

Mughrabi, T A

In this dissertation we establish new theorems for computing certain types of multidimensional Laplace transform pairs from known one-dimensional Laplace transforms. The theorems are applied to the most commonly used special functions and so we obtain many two and three dimensional Laplace transform pairs. As applications, some boundary value problems involving linear partial differential equations are solved by the use of multi-dimensional Laplace transformation. Also we establish some relations between the Laplace transformation and other integral transformation in two variables.

• Research Organization: Iowa State Univ. of Science and Technology, Ames, IA (USA)
• OSTI ID: 7000513
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BOUNDARY-VALUE PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
LAPLACE TRANSFORMATION
CALCULATION METHODS
DATA ANALYSIS
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRAL TRANSFORMATIONS
TRANSFORMATIONS
657000* - Theoretical & Mathematical Physics
990200 - Mathematics & Computers