In this research, exponential approximation is used to solve a class of nonlinear Emden-Fowler equations. This method is based on the matrix forms of exponential functions and their derivatives using collocation points. To demonstrate the usefulness of the method, we apply it to some different problems. The numerical approximate solutions are compared with available (existing) exact (analytical) solutions to show the accuracy of the proposed method. The method has been checked with several examples to show its validity and reliability. The reported examples illustrate that the method is reasonably efficient and accurate.
Aslefallah, Mohammad; Abbasbandy, Saeid; and Yüzbaşi, Şuayip
(R1951) Numerical Solution for a Class of Nonlinear Emden-Fowler Equations by Exponential Collocation Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
1, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/10