scholarly journals An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

2014 ◽  
Vol 3 (6) ◽  
pp. 315 ◽  
Author(s):  
Mohamed A. Ramadan
Keyword(s):  
Analytical Solution ◽  
Differential Equations ◽  
Collocation Method ◽  
Approximate Analytical Solution ◽  
Variable Coefficients ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Chebyshev Collocation Method ◽  
Linear Differential ◽  
Rational Chebyshev

An Approximate Analytical Solution for the Stepped Bearing

1961 ◽  
Vol 28 (4) ◽  
pp. 507-510 ◽  
Author(s):  
C. F. Kettleborough
Keyword(s):  
Differential Equation ◽  
Analytical Solution ◽  
Differential Equations ◽  
Infinite Series ◽  
Analytical Method ◽  
Approximate Analytical Solution ◽  
High Accuracy ◽  
Linear Differential Equations ◽  
Relaxation Methods ◽  
Linear Differential

Previously, solutions of the problem of the Rayleigh-type bearing with a step which is not straight have involved the use of the electrolytic tank or the use of relaxation methods, both of which are somewhat inconvenient as compared with the approximate analytical method described in this paper. The solution of the derived differential equation is in the form of a convergent infinite series, but for rapid computation it is shown that an economized series (the τ method for the solution of linear differential equations) yields results of high accuracy.

Sign in / Sign up

Export Citation Format

Share Document