scholarly journals Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes

2021 ◽  
Vol 40 (1) ◽  
Author(s):  
Khaled M. Furati ◽  
Kassem Mustapha ◽  
Ibrahim O. Sarumi ◽  
Olaniyi S. Iyiola
Keyword(s):  
Anomalous Diffusion ◽  
Numerical Algorithms ◽  
Two Parameter

scholarly journals On the influence of the method of approximation of an unknown function on the stability of numerical methods for solving the anomalous diffusion equation

2019 ◽  
pp. 23-29
Author(s):  
Vladimir Andreevich Litvinov
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Anomalous Diffusion ◽  
Caputo Derivative ◽  
Numerical Algorithms ◽  
Difference Approximation ◽  
Liouville Derivative ◽  
The Subject ◽  
The Difference ◽  
The Stability

The subject of the research is numerical algorithms for solving fractional partial differential equations. The object of the study is the stability of several algorithms for the numerical solution of the anomalous diffusion equation. Algorithms based on the difference representation of the fractional Riemann-Liuville derivative and the Caputo derivative for various orders of accuracy are considered. A comparison is made of the results of numerical calculations using the analyzed algorithms for a model problem with the exact solution of the anomalous diffusion equation for various orders of the fractional derivative with respect to the spatial coordinate. The results of the work were obtained on the basis of the analysis of the constructed difference schemes for stability, the conducted numerical experiments and a comparative analysis of the data obtained. The main conclusions of the study are the advantage of using the approximation of the fractional Caputo derivative compared to using the difference scheme for the fractional Riemann-Liouville derivative in the numerical solution of the anomalous diffusion equation. The paper also indicates the importance of choosing the method of difference approximation of the second derivative, which is a derivative of the Caputo.

scholarly journals An inverse source problem for a two-parameter anomalous diffusion with local time datum

2017 ◽  
Vol 73 (6) ◽  
pp. 1008-1015 ◽  
Author(s):  
Khaled M. Furati ◽  
Olaniyi S. Iyiola ◽  
Kassem Mustapha
Keyword(s):  
Local Time ◽  
Anomalous Diffusion ◽  
Inverse Source Problem ◽  
Two Parameter

Structural Mechanics Problems With Structures on a Two-Parameter Foundation Solved by DQEM

2005 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Numerical Algorithms ◽  
Structural Mechanics ◽  
Numerical Results ◽  
Structural Problems ◽  
Governing Differential Equation ◽  
Analysis Models ◽  
Element Boundary ◽  
Two Parameter

The development of DQEM solution of structural problems with structures resting on a two-parameter foundation was carried out. The DQEM uses DQ or EDQ to discretize the governing differential equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Some EDQ models can be generated by DQ. They are DQ generated EDQ. Numerical results solved by the developed numerical algorithms are presented. The convergence of the developed DQEM analysis models is efficient.

Vibration of Timoshenko Beam Structures Resting on a Two-Parameter Elastic Foundation Solved by DQEM Using Chebyshev DQ Model

2008 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Boundary Conditions ◽  
Elastic Foundation ◽  
Timoshenko Beam ◽  
Numerical Algorithms ◽  
Numerical Results ◽  
Eigenvalue Equation ◽  
Beam Structures ◽  
Analysis Models ◽  
Element Boundary ◽  
Two Parameter

The development of DQEM solution of vibration of Timo-shenko beam structures resting on a two-parameter elastic foundation was carried out. The DQEM uses Chebyshev DQ model to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithms are presented. The convergence of the developed DQEM analysis models is efficient.

Some results of the Barbier-Chalonge-Divan system of stellar classification

1966 ◽  
Vol 24 ◽  
pp. 77-90 ◽  
Author(s):  
D. Chalonge
Keyword(s):  
Early Type ◽  
Parameter System ◽  
Early Type Stars ◽  
Two Parameter

Several years ago a three-parameter system of stellar classification has been proposed (1, 2), for the early-type stars (O-G): it was an improvement on the two-parameter system described by Barbier and Chalonge (3).

Subjective Time Preference and Willingness to Pay for an Energy-Saving Durable Good

2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink
Keyword(s):  
Willingness To Pay ◽  
Energy Saving ◽  
Subjective Time ◽  
Durable Good ◽  
Discount Function ◽  
Hyperbolic Discount ◽  
The One ◽  
Two Parameter ◽  
Difference Effect ◽  
Better Than

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.

TWO–PARAMETER HOMOGENEOUS MARKOVIAN PROCESS

1988 ◽  
Vol 8 (3) ◽  
pp. 315-322 ◽  
Author(s):  
Shoujun Luo
Keyword(s):  
Markovian Process ◽  
Two Parameter
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