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.

scholarly journals Biharmonic Equation on Annulus in a Unit Sphere with Polynomial Boundary Condition

2017 ◽  
Vol 13 (1) ◽  
pp. 51
Author(s):  
Ikhsan Maulidi ◽  
Agah D Garnadi
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Unit Sphere ◽  
Biharmonic Equation ◽  
Boundary Value ◽  
Boundary Function ◽  
Exact Algorithms ◽  
Polynomial Functions ◽  
Dirichlet Conditions ◽  
Laplace Equations

We studied Biharmonic boundary value problem on annulus with polynomial data. We utilize an exact algorithms for solving Laplace equations with Dirichlet conditions with polynomial functions data. The algorithm requires differentiation of the boundary function, but no integration.

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