Improving the accuracy of finite difference methods for solving boundary value ordinary differential equations

1982 ◽  
Vol 22 (3) ◽  
pp. 353-360 ◽  
Author(s):  
R. P. Tewarson ◽  
S. Gupta
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Difference Methods

scholarly journals Comparison between standard and non-standard finite difference methods for solving first and second order ordinary differential equations

2015 ◽  
Vol 4 (2) ◽  
pp. 316
Author(s):  
Abdulrahman Yaghoubi ◽  
Hashem Saberi Najafi
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Exact Solutions ◽  
Ordinary Differential Equations ◽  
Finite Difference Methods ◽  
Second Order ◽  
Difference Methods

<p>In this paper, we solve some first and second order ordinary differential equations by the standard and non-standard finite difference methods and compare results of these methods. Illustrative examples have been provided, and the results of two methods compared with the exact solutions.</p>

On finite-difference methods for the numerical solution of boundary-value problems

1961 ◽  
Vol 262 (1309) ◽  
pp. 219-236 ◽  
Keyword(s):  
Partial Differential Equations ◽  
Finite Difference ◽  
Differential Equations ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Elliptic Type ◽  
Partial Differential ◽  
Difference Methods

We consider the application of finite-difference methods to the numerical solution of boundary-value problems. In particular we are concerned to study the feasibility and con­vergence of the difference-correction method for the solution of partial differential equations of elliptic type. These topics form the subject matter for §§ 3 to 6. The material of the first two sections is intended to serve as a preliminary for the main discussion. The topics considered here are finite difference formulae for numerical differentiation, and finite difference methods for the solution of partial differential equations.

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