scholarly journals Fundamental Solution Method in a few MATLAB lines

2017 ◽  
Author(s):  
Agah D. Garnadi
Keyword(s):  
Approximate Solution ◽  
Fundamental Solution ◽  
Quadratic Programming ◽  
Programming Problem ◽  
Solution Method ◽  
Quadratic Programming Problem ◽  
Fundamental Solution Method

We report a computational exposition to approximate solution of Laplaceequation on the plane using Fundamental Solution Method. For agiven boundary conditionsat the boundary, we recoverthe approximate solution in the region. We demonstrate thatfundamental solution method for the model leads to anunconstrained Quadratic Programming problem. To address the issue ofill-conditioning, we suggests to use SVD to overcome this issue.The implementation of the methods is using MATLAB.

scholarly journals An Approximate Solution of some Variational Problems Using Boubaker Polynomials

2018 ◽  
Vol 15 (1) ◽  
pp. 106-109 ◽  
Author(s):  
Baghdad Science Journal
Keyword(s):  
Approximate Solution ◽  
Quadratic Programming ◽  
Variational Problem ◽  
Programming Problem ◽  
Variational Problems ◽  
Quadratic Programming Problem ◽  
Numerical Examples ◽  
Boubaker Polynomials

In this paper, an approximate solution of nonlinear two points boundary variational problem is presented. Boubaker polynomials have been utilized to reduce these problems into quadratic programming problem. The convergence of this polynomial has been verified; also different numerical examples were given to show the applicability and validity of this method.

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