Inverse Laplace transforms using convolution integral

• Autorzy: Jha B. K. , Ajibade A. O.
• Języki publikacji: EN

Abstrakty

EN

In the present article, the convolution theorem is used to obtain the inverse Laplace-transforms of some Laplace-transforms functions. Although the inverse Laplace-transforms of these functions are available in the works of Abramowitz and Stegun (1965), Carlslaw and Jaeger (1952), Churchill (1972), Miles (1971) and Özisik (1980), they require integration of complementary-error-function for computational purposes. The results presented in this article are directly applicable in many branches of science where time-dependent initial and boundary conditions are frequently occurring.

Słowa kluczowe

EN

Laplace transforms; convolution integral; complementary error function; reduction formula; inverse Laplace transforms

PL

transformacja Laplace'a

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 4
• Strony: 1119--1123

Twórcy

autor

Jha B. K.

autor

Ajibade A. O.

• Department of Mathematics, Ahmadu Bello University Zaria, NIGERIA,

Bibliografia

• Abramowitz B.M. and Stegun I.A. (1965): Handbook of Mathematical Functions. - New York: Dover.
• Carlslaw H.S. and Jaeger J.C. (1952): Conduction of Heat in Solids, 2nd Edition. - Oxford: Oxford University Press, pp.495-496.
• Churchill R.V. (1972): Operational Mathematics. - International Students Edition, Third edition.
• Miles, John (1971): Integral Transforms in Applied Mathematics. - Cambridge University Press.
• Özisik M.N. (1980): Heat conduction. - New York: John Wiley and Sons, pp.259-262.