Introduction to the Theory and Application of the Laplace Transformation
الملخص
Laplace Transform is a significant device for solving linear ODE's and initial value problems and a system of linear ODEs. This paper contains the definition of the Laplace Transform and some of its properties and its proofs are quoted. Also, it has some examples to explain the use of Laplace Transform. Moreover, it involves a table of Laplace Transformation of some functions.
الكلمات المفتاحية:
Laplace transform, inverse Laplace transform, properties, integration, equations.
كيفية الاقتباس
Iman Omran Nassr. (2024). Introduction to the Theory and Application of the Laplace Transformation. مجلة جامعة بني وليد للعلوم الإنسانية والتطبيقية, 9(2), 367-378. https://doi.org/10.58916/jhas.v9i2.268
إصدار
القسم
Article
المراجع
1.
-Kreyszing, Erwin. (2015). Advance Engineering Mathematics, International Student Version.
2.
-Schiff, Joel. L. (1999). The Laplace Transform Theory and Applications.
3.
-P. Dyke. (2014). An Introduction to Laplace Transforms and Fourier series.
4.
-Thlagarajan, Samanthak.(2022). Theory of Laplace Transforms and Their Applications.
5.
-Asher, Karan. (2013). International journal of Science and Research.2,601.
6.
- Debnath, L., Bhatta, D. (2015). Integral Transforms and Their Applications, Third Edition. United Kingdom: Taylor & Francis.
7.
-Schiff, J. L. (2013). The Laplace Transform: Theory and Applications. Switzerland: Springer New York.
8.
-Shafii-Mousavi, M. (2015). Laplace Transforms Essentials. United Kingdom: Research & Education Association.
9.
-Kuhfittig, P. K. (2013). Introduction to the Laplace Transform. Switzerland: Springer US.
10.
-Apelblat, A. (2012). Laplace Transforms and Their Applications. United States: Nova Science Publishers.
11.
-McLachlan, N. (2014). Laplace Transforms and Their Applications to
12.
Differential Equations. United States: Dover Publications.
13.
-Dyke, P. (2012). An Introduction to Laplace Transforms and Fourier Series. Switzerland: Springer London.
14.
-Oberhettinger, F., Badii, L. (2012). Tables of Laplace Transforms. Germany: Springer Berlin Heidelberg.
15.
-Fleisch, D. (2022). A Student's Guide to Laplace Transforms. India: Cambridge University Press.
16.
-Eiderman, V. Y. (2022). An Introduction to Complex Analysis and the Laplace Transform. United Kingdom: CRC Press.
