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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Partial Differential Equations in Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
