Document Type : Research Paper

Authors

• Zahra Shafinejad ¹
• Mohammad Zarebnia ¹
• M. Lakestani ²

¹ Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

² b Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract

The presented paper examines a numerical method for solving Lane-Emden type equations based on Flatlet oblique multiwavelet properties. In this paper, using the Flatlet multiwavelet features, an operator matrix is created and then the Lane-Emden equation reduces to a set of algebraic equations. Also, comparing the results presented in previous articles, it is observed that this wavelet due to having different high ranks, has the ability to solve this problem more accurately than other methods.

Keywords

• atlet oblique multiwavelet
• Lane-Emden equation
• operational matrix of derivative
• operational matrix of integration
• collocation method, biorthogonal system