Finite-difference method for solving the first boundary-value problem for a second-order ordinary differential equation

1977 ◽  
Vol 7 (1) ◽  
pp. 120-122
Author(s):  
M. N. Yakovlev
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problem ◽  
Difference Method ◽  
Boundary Value ◽  
Second Order ◽  
Order Ordinary Differential Equation

Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind

2010 ◽  
Vol 10 (1) ◽  
pp. 109-116 ◽  
Author(s):  
P.K. Pandey
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Second Order ◽  
Point Boundary ◽  
Order Ordinary Differential Equation ◽  
Numerical Examples ◽  
The Third

Abstract We present a second-order finite difference method for obtaining a solution of a second order two-point boundary value problem subject to Sturm's boundary conditions. We use equidistant discretization points, and the discretization of the differential equation at an interior point is based on just two evaluations of the function. Numerical examples are considered and the convergence of the proposed method is proved computationally.

Sign in / Sign up

Export Citation Format

Share Document