Numerical inversion of the Laplace transform and multidimensional heat equations

Technical Report · Thu Jan 01 04:00:00 EST 1970

OSTI ID:6441868

Angel, E

The technique presented in this paper is based upon the use of the Laplace transform. The Laplace transform of a parabolic equation yields an elliptic equation in all the space variables and the new variables, which we regard as a parameter. For a carefully chosen but small set of values of s we solve the transformed equation numerically. The feasibility of the technique rests on our ability to invert the transform so as to recover the desired function. The work of Bellman, et at, shows that a suitable inversion formula can be easily computed or looked up in tables.

• Research Organization: University of Southern California, Los Angeles (USA). Dept. of Electrical Engineering
• DOE Contract Number: AT03-76ER70019
• OSTI ID: 6441868
• Report Number(s): DOE/ER/70019-T8; ON: DE81026129
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
HEAT FLOW
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MANY-DIMENSIONAL CALCULATIONS
NUMERICAL SOLUTION
STABILITY
THERMODYNAMICS
TRANSFORMATIONS