scholarly journals Power series method and approximate linear differential equations of second order

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Soon-Mo Jung ◽  
Hamdullah Şevli
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Series Method ◽  
Power Series Method ◽  
Linear Differential

Application of the special series method for representing solutions of the equation of nonstationary gas flows

2007 ◽  
Vol 5 ◽  
pp. 301-306
Author(s):  
M.Yu. Filimonov
Keyword(s):  
Partial Differential Equations ◽  
Power Series ◽  
Differential Equations ◽  
Linear Differential Equations ◽  
Gas Flows ◽  
Series Method ◽  
Linear Partial Differential Equations ◽  
Special Power ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

For the Lin-Reissner-Tsien equation describing nonstationary transonic gas flows, solutions are constructed in the form of special power series in specially chosen functions. Such a choice of functions makes it possible to find the coefficients of the series by sequential solving both ordinary linear differential equations and linear partial differential equations. The convergence of the constructed series is investigated.

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.

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