Integral equations in two-dimensional elasticity theory with forces given at the boundary

1992 ◽  
Vol 24 (4) ◽  
pp. 286-289
Author(s):  
I. M. Nesatyi
Keyword(s):  
Elasticity Theory ◽  
Integral Equations ◽  
Two Dimensional

scholarly journals Application of the boundary integral equation method to numerical solution of Dirichlet's boundary value problem in the elasticity theory on polygons

2015 ◽  
pp. 78-85
Author(s):  
И.О. Арушанян
Keyword(s):  
Boundary Value Problem ◽  
Elasticity Theory ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Value ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Two Dimensional ◽  
Original Boundary ◽  
Corner Points

Рассматривается первая краевая задача плоской теории упругости в области с конечным числом угловых точек. Задаче ставится в соответствие система граничных интегральных уравнений теории потенциала. Исследуется вопрос об эффективном вычислении приближенного решения исходной краевой задачи на основе численного решения системы граничных интегральных уравнений. Dirichlet's boundary value problem of the two-dimensional elasticity theory is considered for domains with a finite number of corner points. This problem is put in correspondence with a system of boundary integral equations used in the potential theory. An approach to the efficient approximate solution of the original boundary value problem by numerical solving the system of boundary integral equations is proposed.

Approximate solutions of nonlinear two‐dimensional Volterra integral equations

2021 ◽  
Author(s):  
Sumbal Ahsan ◽  
Rashid Nawaz ◽  
Muhammad Akbar ◽  
Kottakkaran Sooppy Nisar ◽  
Dumitru Baleanu
Keyword(s):  
Integral Equations ◽  
Approximate Solutions ◽  
Volterra Integral Equations ◽  
Two Dimensional
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