Improving the Performance of Numerical Methods for Two Point Boundary Value Problems

1985 ◽  
pp. 107-119 ◽  
Author(s):  
W. H. Enright
Keyword(s):  
Numerical Methods ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary

scholarly journals Numerical Methods for Stiff Systems of Two-Point Boundary Value Problems

1984 ◽  
Vol 5 (4) ◽  
pp. 865-886 ◽  
Author(s):  
Joseph E. Flaherty ◽  
Robert E. O’Malley, Jr.
Keyword(s):  
Numerical Methods ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Stiff Systems

scholarly journals Solving Multi-Point Boundary Value Problems Using Sinc-Derivative Interpolation

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2104
Author(s):  
Kenzu Abdella ◽  
Jeet Trivedi
Keyword(s):  
Numerical Methods ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Collocation Method ◽  
Boundary Value ◽  
Point Boundary ◽  
Excellent Performance ◽  
Unknown Variable ◽  
First Derivative ◽  
Linear And Nonlinear

In this paper, the Sinc-derivative collocation method is used to solve linear and nonlinear multi-point boundary value problems. This is done by interpolating the first derivative of the unknown variable via Sinc numerical methods and obtaining the desired solution through numerical integration of the interpolation and all higher order derivatives through successive differentiation of the interpolation. Non-homogeneous boundary conditions are reduced to homogeneous using suitable transformations. The efficiency and the accuracy of the method are tested using illustrative examples previously considered by other researchers who used different approaches. The results show the excellent performance of the Sinc-derivative collocation method.

Numerical Methods for Stiff Two-Point Boundary Value Problems

1986 ◽  
Vol 23 (2) ◽  
pp. 325-368 ◽  
Author(s):  
Heinz-Otto Kreiss ◽  
N. K. Nichols ◽  
David L. Brown
Keyword(s):  
Numerical Methods ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary

scholarly journals Numerical behavior of singular two-point boundary value problems in a comparative way

2017 ◽  
Vol 7 (3) ◽  
pp. 288-292
Author(s):  
Selmahan Selim ◽  
Gözde Elver ◽  
Murat Sari
Keyword(s):  
Finite Element ◽  
Numerical Methods ◽  
Boundary Value Problems ◽  
Finite Element Methods ◽  
Model Equation ◽  
Boundary Value ◽  
Point Boundary ◽  
Numerical Techniques ◽  
Physical Processes ◽  
Advantages And Disadvantages

This article concentrates on discovering numerical behavior of the singular two-point boundary value problems through various numerical techniques. This is carried out in a comparative way by mainly using differential quadrature and finite element methods. Also a discussion has been done by means of advantages and disadvantages of the numerical methods of interest.To properly understand the behavior of the physical processes represented by the model equation, the calculated solutions have been discussed in detail. 

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