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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P522

A New Complex Inversion Formula For A Laplace Function, In Solving Some Complicated Problems Using The Laplace Transform Method, Methods Based On Complex Variable Theory May Come In Handy For Finding The Inverse Transform


Ms.D. Jayasri, Mr.M.V. Suresh, Dr.N. Srinivasan
Abstract

With the remarkable advances made in various branches of science, engineering and technology, today, more than ever before, the study of partial differential equations has become essential. For, to have an in-depth understanding of subjects like fluid dynamics and heat transfer, aerodynamics, elasticity, waves, and electromagnetics, the knowledge of finding solutions to partial differential equation is absolutely necessary. In this article, Laplace transform method is selfcontained since the subject matter has been developed from the basic definition.

Keywords
Laplace Transform, Inverse Transform
References

[1] BELL, W.W., Special Functions for Scientists and Engineers, Van Nostrand, London, 1968.
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[3] CHESTER, C.R., Techniques in Partial Differential Equations, McGraw-Hill, New York, 1971.
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[5] COLE, J.D., on a quasi-linear parabolic equation occurring in aerodynamics, Q. Appl. Math., 9, pp.225-236, 1951. Ms.D. Jayasri et al. / IJMTT, 66(10), 167-172, 2020 172
[6] COPSON, E.T., Partial Differential Equations, S. Chand & Co., New Delhi, 1976
[7] DENNEMEYER, R., Introduction to Partial Differential Equations, McGraw-Hill, New York, 1968.
[8] DUCHALEAU PAUL and ZACHMANN, D.W., Partial Differential Equations (Schaum’s Outline Series in Mathematics), McGraw-Hill, New York, 1986.
[9] DUFF, G.F.D. and NAYLOR, D., Differential Equations of Applied Mathematics, Wiley, New York, 1966.
[10] GARABEDIAN, P., Partial Differential Equations, Wiley, New York, 1968.
[11] GELFAND, I. and SHILOW, G.,Generalized Functions, Vol. I, Academic Press, New York, 1964.
[12] GREENBERG, M., Applications of Green’s Functions in science and Engineering, Prentice Hall, Englewood Cliffs, N.J., 1971.
[13] GUSTAFSON, K.E., Introduction to Partial Differential Equations and Hilbert Space Methods, Wiley, New York, 1987.
[14] HILDEBRAND, F.B., Advanced Calculus for Applications, Prentice Hall, Englewood Cliffs, N.J., 1963.

Citation :

Ms.D. Jayasri, Mr.M.V. Suresh, Dr.N. Srinivasan, "A New Complex Inversion Formula For A Laplace Function, In Solving Some Complicated Problems Using The Laplace Transform Method, Methods Based On Complex Variable Theory May Come In Handy For Finding The Inverse Transform," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 178-183, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P522

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