scholarly journals On some boundary value problems for nonlinear fourth order ordinary differential equations

1975 ◽  
Vol 100 (3) ◽  
pp. 265-272
Author(s):  
Michal Čverčko
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Boundary Value

scholarly journals ON NUMEROV METHOD FOR SOLVING FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS

2021 ◽  
Vol 4 (4) ◽  
pp. 355-362
Author(s):  
Abdulrahman Ndanusa ◽  
K. R. Adeboye ◽  
A. U. Mustapha ◽  
R. Abdullahi
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Boundary Value ◽  
System Of Differential Equations ◽  
Numerov Method

In this work, a fourth order ODE of the form  is transformed into a system of differential equations that is suitable for solution by means of Numerov method. The obtained solutions are compared with the exact solutions, and are shown to be very effective in solving both initial and boundary value problems in ordinary differential equations.

Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations

2014 ◽  
Vol 58 (1) ◽  
pp. 183-197 ◽  
Author(s):  
John R. Graef ◽  
Johnny Henderson ◽  
Rodrica Luca ◽  
Yu Tian
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
Optimal Length ◽  
The Third

AbstractFor the third-order differential equationy′″ = ƒ(t, y, y′, y″), where, questions involving ‘uniqueness implies uniqueness’, ‘uniqueness implies existence’ and ‘optimal length subintervals of (a, b) on which solutions are unique’ are studied for a class of two-point boundary-value problems.

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