Abstract
The main objective of this work is to numerically solve three
types of Fourth order Emden-Fowler equations by using Successive Differentiation Method (SDM) and to inspect its shape factor ‘k’ in detail.
Numerical solutions and graphical illustrations give a detailed insight into
the variation of numerical solution due to shape factor and evince the reason why ‘k’ is always kept positive. The singularity term in Emden-Fowler
equations makes it difficult to find its analytical solution. It is usually arduous to obtain the numerical solutions due to its singularity. Successive
Differentiation Method is easy to understand and give accurate results as
compared to its contemporary methods. Graphical illustrations have been
shown to establish our argument.
Mariam Sultanaa , M. Khalidb , Fareeha Sami Khanc. (2020) On the Shape Factor of Emden-Fowler Equation of Higher Order and its Numerical Solution by Successive Differentiation Method, Punjab University Journal of Mathematics, Volume 52 , Issue No.5.
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