scholarly journals A Successive Linearization Method Approach to Solve Lane-Emden Type of Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
S. S. Motsa ◽  
S. Shateyi
Keyword(s):  
Numerical Methods ◽  
Boundary Value Problems ◽  
Analytical Solutions ◽  
Boundary Value ◽  
Linearization Method ◽  
Exact Analytical Solutions ◽  
Successive Linearization Method ◽  
Method Approach ◽  
Better Than

We propose a new application of the successive linearization method for solving singular initial and boundary value problems of Lane-Emden type. To demonstrate the reliability of the proposed method, a comparison is made with results from existing methods in the literature and with exact analytical solutions. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods.

scholarly journals HYPERBOLIC MODEL OF NON -STATIONARY THERMAL CONDUCTIVITY

2016 ◽  
Vol 11 (2) ◽  
pp. 74-80 ◽  
Author(s):  
E. M. Kartashov ◽  
I. V. Antonova
Keyword(s):  
Thermal Conductivity ◽  
Boundary Value Problems ◽  
Analytical Solutions ◽  
Boundary Value ◽  
Operational Calculus ◽  
Hyperbolic Model ◽  
Complex Class ◽  
Transport Models ◽  
Exact Analytical Solutions ◽  
Correct Formulation

The article presents fundamentally new results on the analytical theory of thermal conductivity for hyperbolic transport models. The questions of the correct formulation of boundary value problems are considered. A technique for finding exact analytical solutions of a rather complex class of boundary value problems based on the method of Green's functions and operational calculus is developed.

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