Year: 2022
Type: article
Abstract: This model attracted attention due to its importance as it emerge in the modeling of many physical systems. We present an approximate solution for the fourth-order nonlinear Lane–Emden–Fowler equation using two simple and powerful methods, the first one is the Adomian decomposition method and the second one is the quintic B-spline method (QBSM). We transform the differential equation into an integral equation to overcome the singularity at the origin. Moreover, we discuss the convergence and the uniqueness of the three types of the model using the Adomian decomposition method. Finally, We present tables and graphs to make a comparison between the two methods and the exact solutions to exhibit the accuracy and efficiency of the proposed methods.
Authors: Khalid K. Ali, M.S. Mehanna, M. Ismail Abdelrahman, M.A. Shaalan
Institutions: Al-Azhar University, Higher Technological Institute
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,000
OpenAlex ID: W4286568258