doi: 10.7763/IJAPM.2012.V2.137
Application of Laplace Decomposition Method to Solve Linear and Nonlinear Heat Equation
Sujit Handibag
1
,
- 1 department of Mathematics, Mahatma Basweshwar Mahavidyalaya, Latur-413 512, Maharashtra, India
- 2 Department of Mathematics, Maharashtra Udaygiri Mahavidyalaya, Udgir, India
Abstract
In this paper, we develop a method to obtain approximate solution of nonlinear heat equation with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to nonlinear partial differential equation. The nonlinear term can easily be handle with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have closed arrestment with approximate solutions obtained with the help of Adomian Decomposition Method (ADM).
Keywords
- Approximate solution
- Laplace decomposition method
- nonlinear partial differential equations. Adomian decomposition method
How to Cite
Sujit Handibag and B. D. Karande, "Application of Laplace Decomposition Method to Solve Linear and Nonlinear Heat Equation," International Journal of Applied Physics and Mathematics, vol. 2, no. 5, pp. 369-371, 2012. https://doi.org/ 10.7763/IJAPM.2012.V2.137
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).