Application of Laplace Transform for Solving Improper Integrals whose Integrand Consisting Error Function

Authors

  • Sudhanshu Aggarwal Assistant Professor, Department of Mathematics, National PG College, Barhalganj, Gorakhpur, Uttar Pradesh, India.
  • Ajay Singh Assistant Professor, Department of Electrical and Electronics, KNGD Modi Engineering College, Modinagar Ghaziabad, U.P., India.
  • Ankit Kumar Assistant Professor, Department of Biotechnology, Noida Institute of Engineering & Technology, Greater Noida U.P., India.
  • Neeraj Kumar Associate Professor, Department of Chemistry, Shivalik College of Engineering, Dehradun, U.K., India.

Keywords:

Laplace Transforms, Error Function, Complementary Error Function, Improper Integral

Abstract

Error function occurs frequently in probability, statistics, physics and many engineering problems like heat conduction problems, vibrating beams problems etc. In this article, we use Laplace transform for solving improper integrals whose integrand consisting error function. In application section, some numerical applications are given to explain the procedure of solving improper integrals whose integrand consisting error function using Laplace transform.

How to cite this article:
Aggarwal S, Singh A, Kumar A et al. Application of
Laplace Transform for Solving Improper Integrals
Whose Integrand Consisting Error Function. J Adv
Res Appl Math Stat 2019; 4(2): 1-7.

Author Biography

Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National PG College, Barhalganj, Gorakhpur, Uttar Pradesh, India.

https://orcid.org/0000-0001-6324-1539

Published

2019-08-03

Issue

Vol. 4 No. 2 (2019): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article