Analytical solution to diffraction problem in series of half-screens bounded by low-curvature surface

1999 ◽  
Vol 35 (22) ◽  
pp. 1928 ◽  
Author(s):  
A.S. Nastachenko
Keyword(s):  
Analytical Solution ◽  
Diffraction Problem ◽  
Curvature Surface ◽  
In Series

scholarly journals Wear of elastic tube with nonuniform coating by rigid bush

2020 ◽  
Vol 162 ◽  
pp. 02002 ◽  
Author(s):  
Kirill E. Kazakov
Keyword(s):  
Analytical Solution ◽  
Special Form ◽  
Special Functions ◽  
Contact Stresses ◽  
Elastic Tube ◽  
Analytical Representation ◽  
Standard Methods ◽  
In Series ◽  
Separate Factor ◽  
Over Time

This article is devoted to the statement and construction of analytical solution of the wearcontact problem for a rigid bush and elastic pipe with a coating in the case when the coating is nonuniform. The presence of nonuniformity leads us to the necessity of constructing a solution in a special form over special functions, since standard methods does not allow us to effectively take into account the complex properties of the coating. Analytical representation for contact stresses under the bush is presented in series with separate factor, which connect with complex properties of coating. This allows provide effective calculation even if these properties are described by rapidly changing or discontinuous functions. It is also shown that contact stresses will be negligible over time.

Analytical Solution of a Wave Diffraction Problem on a Submerged Cylinder

2014 ◽  
Vol 140 (1) ◽  
pp. 225-232 ◽  
Author(s):  
Sheng-chao Jiang ◽  
Ying Gou ◽  
Bin Teng ◽  
De-zhi Ning
Keyword(s):  
Analytical Solution ◽  
Wave Diffraction ◽  
Diffraction Problem ◽  
Submerged Cylinder

scholarly journals Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations

Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 335 ◽  
Author(s):  
Rasool Shah ◽  
Hassan Khan ◽  
Muhammad Arif ◽  
Poom Kumam
Keyword(s):  
Partial Differential Equations ◽  
Analytical Solution ◽  
Differential Equations ◽  
Fractional Order ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Third Order ◽  
Partial Differential ◽  
Adomian Decomposition ◽  
In Series

In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method. The Caputo operator is used to define the derivative of fractional-order. Laplace–Adomian decomposition method solutions for both fractional and integer orders are obtained in series form, showing higher convergence of the proposed method. Illustrative examples are considered to confirm the validity of the present method. The fractional order solutions that are convergent to integer order solutions are also investigated.

scholarly journals General analytical solution for the electromagnetic grating diffraction problem

2017 ◽  
Vol 25 (12) ◽  
pp. 13435 ◽  
Author(s):  
Alexandre V. Tishchenko ◽  
Alexey A. Shcherbakov
Keyword(s):  
Analytical Solution ◽  
Diffraction Problem ◽  
General Analytical Solution ◽  
Grating Diffraction
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