scholarly journals The generalized quasilinearization technique for a second order differential equation with separated boundary conditions

2006 ◽  
Vol 43 (7-8) ◽  
pp. 727-742 ◽  
Author(s):  
Rahmat Ali Khan
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Second Order ◽  
Second Order Differential Equation ◽  
Separated Boundary Conditions ◽  
Quasilinearization Technique

A mechanical method for the solution of second-order linear differential equations

1931 ◽  
Vol 27 (4) ◽  
pp. 546-552 ◽  
Author(s):  
E. C. Bullard ◽  
P. B. Moon
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Second Order ◽  
Linear Differential Equations ◽  
Mechanical Method ◽  
Order Linear ◽  
Second Order Differential Equation ◽  
Linear Differential

A mechanical method of integrating a second-order differential equation, with any boundary conditions, is described and its applications are discussed.

scholarly journals An Exact Solution of the Second-Order Differential Equation with the Fractional/Generalised Boundary Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Mariusz Ciesielski ◽  
Tomasz Blaszczyk
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Second Order ◽  
Second Order Differential Equation ◽  
Constant Coefficients ◽  
Initial Boundary Value

We analysed the initial/boundary value problem for the second-order homogeneous differential equation with constant coefficients in this paper. The second-order differential equation with respect to the fractional/generalised boundary conditions is studied. We presented particular solutions to the considered problem. Finally, a few illustrative examples are shown.

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