Artificial Intelligence and Communication Technologies
Mathematical Analysis of Reaction Diffusion Equation using Laplace Transform in Life Sciences
Authors: Khagendra Singh, Vijay Vir and R.K. Srivastava
Publishing Date: 12-12-2023
ISBN: 978-81-955020-5-9
Abstract
This work is connected with the solution of reaction diffusion equation by Laplace transform in life sciences. Here we use the integral transform and inverse integral transform techniques to solve the boundary value problem with different boundary conditions. We also use some special function to solve the problem. The reaction diffusion equation and its solution is used in many fields like environment, medicines, oxygen diffusion through living tissues, problem of hemodailyser, spread of epidemics. These all areas are related to life sciences. To show its application in different areas, the examples are also illustrated.
Keywords
Reaction diffusion equation, partial differential equation, Laplace transforms, Integral transforms, life science
Cite as
Khagendra Singh, Vijay Vir and R.K. Srivastava, "Mathematical Analysis of Reaction Diffusion Equation using Laplace Transform in Life Sciences", In: Saroj Hiranwal and Garima Mathur (eds), Artificial Intelligence and Communication Technologies, SCRS, India, 2023, pp. 1137-1142. https://doi.org/10.52458/978-81-955020-5-9-107