scholarly journals Iterative method for the numerical solution of a system of integral equations for the heat conduction initial boundary value problem

2016 ◽  
Vol 158 ◽  
pp. 012091 ◽  
Author(s):  
N N Svetushkov
Keyword(s):  
Heat Conduction ◽  
Iterative Method ◽  
Boundary Value Problem ◽  
Numerical Solution ◽  
Integral Equations ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
System Of Integral Equations ◽  
Initial Boundary Value

scholarly journals An Integral Equation Formalism for Integrating a Nonlinear Initial-Boundary Value Problem for a Boussinesq Equation

2020 ◽  
Vol 2020 ◽  
pp. 1-20
Author(s):  
T. S. Jang
Keyword(s):  
Boundary Value Problem ◽  
Integral Equations ◽  
Boussinesq Equation ◽  
Numerical Solutions ◽  
Boundary Value ◽  
Coupled System ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Successive Approximations ◽  
Initial Boundary Value

In this paper, a new nonlinear initial-boundary value problem for a Boussinesq equation is formulated. And a coupled system of nonlinear integral equations, equivalent to the new initial-boundary value problem, is constructed for integrating the initial-boundary value problem, but which is inherently different from other conventional formulations for integral equations. For the numerical solutions, successive approximations are applied, which leads to a functional iterative formula. A propagating solitary wave is simulated via iterating the formula, which is in good agreement with the known exact solution.

scholarly journals A New Algorithm for System of Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Abdujabar Rasulov ◽  
Adem Kilicman ◽  
Zainidin Eshkuvatov ◽  
Gulnora Raimova
Keyword(s):  
Computational Complexity ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Parabolic Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
System Of Integral Equations ◽  
Matrix Weights ◽  
System Of Parabolic Equations ◽  
Initial Boundary Value

We develop a new algorithm to solve the system of integral equations. In this new method no need to use matrix weights. Beacause of it, we reduce computational complexity considerable. Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. To verify the efficiency, the results of computational experiments are given.

Sign in / Sign up

Export Citation Format

Share Document