A high-order numerical method for solving nonlinear Lane-Emden type equations arising in astrophysics

2018 ◽  
Vol 363 (12) ◽  
Author(s):  
Soner Aydinlik ◽  
Ahmet Kiris
Keyword(s):  
Numerical Method ◽  
High Order

scholarly journals High-order Numerical Method for Generalized Black-Scholes Model

2016 ◽  
Vol 80 ◽  
pp. 1765-1776 ◽  
Author(s):  
S. Chandra Sekhara Rao ◽  
Manisha
Keyword(s):  
Numerical Method ◽  
High Order ◽  
Black Scholes Model ◽  
Black Scholes

scholarly journals Object-oriented design to automate a high order non-linear solver based on asymptotic numerical method

2012 ◽  
Vol 48 ◽  
pp. 70-88 ◽  
Author(s):  
Arnaud Lejeune ◽  
Fabien Béchet ◽  
Hakim Boudaoud ◽  
Norman Mathieu ◽  
Michel Potier-Ferry
Keyword(s):  
Numerical Method ◽  
Object Oriented ◽  
High Order ◽  
Linear Solver ◽  
Object Oriented Design ◽  
Asymptotic Numerical Method ◽  
Non Linear

scholarly journals A New High-Order Stable Numerical Method for Matrix Inversion

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
F. Khaksar Haghani ◽  
F. Soleymani
Keyword(s):  
Iterative Method ◽  
Numerical Method ◽  
Matrix Inversion ◽  
High Order ◽  
New Method ◽  
Order Convergence ◽  
Initial Value ◽  
Numerical Examples ◽  
Stable Numerical Method

A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterative method is clarified on solving some numerical examples.

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