Some applications of the numerical solution of integral equations to boundary value problems

1971 ◽  
pp. 137-154 ◽  
Author(s):  
Ben Noble
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Integral Equations ◽  
Boundary Value

Integral equation methods in potential theory. I

1963 ◽  
Vol 275 (1360) ◽  
pp. 23-32 ◽  
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Integral Equations ◽  
Potential Theory ◽  
Boundary Value ◽  
Fredholm Integral Equations ◽  
Integral Equation Methods

This paper makes a short study of Fredholm integral equations related to potential theory and elasticity, with a view to preparing the ground for their exploitation in the numerical solution of difficult boundary-value problems. Attention is drawn to the advantages of Fredholm ’s first equation and of Green’s boundary formula. The latter plays a fundamental and hitherto unrecognized role in the integral equation formula of biharm onic problems.

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