scholarly journals Evaluation of Scipy.ode Integrators in Solving the Lane-Emden Equation for Polytropes as a Boundary Value Problem with a Fitting Method

2017 ◽  
Vol 16 (1) ◽  
pp. 67-80
Author(s):  
M N Anandaram
Keyword(s):  
Boundary Value Problem ◽  
Spectral Method ◽  
Boundary Value ◽  
Reference Value ◽  
Emden Equation ◽  
Acceptable Accuracy ◽  
Fitting Method ◽  
Chebyshev Spectral Method

The use of Scipy integrators like dopri5 and others in accurately solving the  Lane-Emden equation of a polytrope as a two-point BVP with fitting is investigated by comparing the Emden radius with the extended precision reference value obtained by Boyd's Chebyshev spectral method. It is found that both dopri5 and dop853 integrators provide acceptable accuracy upto 14 decimal digits.

scholarly journals On Fast Solving Spectral Method to Biharmonic Equation Of the Second Kind

2018 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Boundary Value Problem ◽  
Spectral Method ◽  
Biharmonic Equation ◽  
Boundary Value ◽  
Simply Supported

This note is addressed to fast solving simply supported boundary value problem ofbiharmonic equation in the unit rectangle.

scholarly journals On Fast Spectral Solving Triharmonic Equation with Simply Supported Type Condition

2018 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Boundary Value Problem ◽  
Spectral Method ◽  
Boundary Value ◽  
Type Condition ◽  
Simply Supported

This note is addressed to fast solving simply supported boundary value problem oftriharmonic equation in the unit rectangle using spectral method.

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