Boundary difference-integral equation method and its error estimates for second order hyperbolic partial differential equation

1993 ◽  
Vol 9 (3) ◽  
pp. 223-235
Author(s):  
Danping Yang
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Integral Equation ◽  
Error Estimates ◽  
Integral Equation Method ◽  
Second Order ◽  
Equation Method ◽  
Hyperbolic Partial Differential Equation ◽  
Partial Differential

scholarly journals A boundary integral equation method for the numerical solution of a second order elliptic equation with variable coefficients

1980 ◽  
Vol 22 (2) ◽  
pp. 218-228 ◽  
Author(s):  
D. L. Clements
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Integral Equation ◽  
Elliptic Partial Differential Equation ◽  
Integral Equation Method ◽  
Variable Coefficients ◽  
Boundary Integral ◽  
Second Order ◽  
Order Elliptic Equation ◽  
Second Order Elliptic Equation

AbstractA method is derived for the solution of boundary value problems governed by a second-order elliptic partial differential equation with variable coefficients. The method is obtained by expressing the solution to a particular problem in terms of an integral taken round the boundary of the region under consideration.

scholarly journals A note on the boundary integral equation method for the solutions of second order elliptic equations

1985 ◽  
Vol 26 (4) ◽  
pp. 415-421 ◽  
Author(s):  
D. L. Clements ◽  
M. Haselgrove ◽  
D. M. Barnett
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Integral Equation ◽  
Boundary Integral Equation ◽  
Elliptic Equations ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Second Order Elliptic Equations

AbstractThe boundary integral equation method is obtained by expressing a solution to a particular partial differential equation in terms of an integral taken round the boundary of the region under consideration. Various methods exist for the numerical solution of this integral equation and the purpose of this note is to outline an improvement to one of these procedures.

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