scholarly journals Spherically Symmetric Boundary‐Value Problems in One‐Speed Transport Theory

1970 ◽  
Vol 11 (1) ◽  
pp. 223-239 ◽  
Author(s):  
K. M. Case ◽  
R. Zelazny ◽  
M. Kanal
Keyword(s):  
Boundary Value Problems ◽  
Transport Theory ◽  
Boundary Value ◽  
Spherically Symmetric

scholarly journals Effective Boundary Value Problem Solver via Bézier Functions

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 736
Author(s):  
Daegyun Choi ◽  
Henzeh Leeghim ◽  
Donghoon Kim
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Initial Value Problems ◽  
Shooting Method ◽  
Boundary Value ◽  
Initial Guess ◽  
Problem Solver ◽  
Spherically Symmetric ◽  
Initial Value ◽  
Effective Boundary

In engineering disciplines, many important problems are to be formed as boundary value problems (BVPs) that have conditions that are specified at the extremes. To handle such problems, the conventional shooting method that transforms BVPs into initial value problems has been extensively used, but it does not always guarantee solving the problem due to the possible failure of finding a proper initial guess. This paper proposes a universal initial guess finder that is composed of Bézier functions. Various dimensional problems that include Lambert’s problem for several orbits around the spherically symmetric Earth are studied to validate the efficacy of the proposed approach, and the results are compared.

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