Approximate Solution of Emden-Fowler Equation Using the Galerkin Method

Aswhad, Asmaa A.

doi:10.37652/juaps.2023.178798

	Approximate Solution of Emden-Fowler Equation Using the Galerkin Method
Journal of University of Anbar for Pure Science
Volume 17, Issue 1, June 2023, Pages 200-203 PDF (688.08 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2023.178798
Author
Asmaa A. Aswhad^*
Department of Mathematics, College of Education for pure Science Ibn-Al-Haitham, University of Baghdad, Baghdad, Iraq;
Abstract
The Emden-Fowler equation (E-F.Eq.) used in mathematical with other science like physics, chemical physics and astrophysics, also this equation can be reduces to the Lane–Emden equation with specified function and used it in different sciences with mathematics. Many Authors study analytic and numerical methods to find the solution for this kind of the equations in the case linear or nonlinear one of these methods the homotopy-perturbation method. In this work the approximate solution for generalized (E-F.Eq.) in the second order ordinary differential equations was found by Galerkin method which is one of the weighted residual methods and do not need long time also use operator (linear or nonlinear) or differential operator in the any kind of the intervals and compared this solution with the exact solution by discuss the results from applying this method for homogeneous and nonhomogeneous equations and drown the solutions in the same figure to illustrate the results.
Keywords
Emden-Fowler Equation; weighted residual method; Galerkin method
Supplementary Files 19 Math.doi.pdf
References
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