Development and Application of Numerical Methods for Equations of Mixed Type in an Unbounded Domain

2019 ◽  
Vol 55 (7) ◽  
pp. 915-928 ◽  
Author(s):  
M. P. Galanin ◽  
D. L. Sorokin
Keyword(s):  
Numerical Methods ◽  
Unbounded Domain ◽  
Mixed Type ◽  
Equations Of Mixed Type

scholarly journals Convergence Research of Numerical Methods for Solving Problems With Mixed Type Operator in an Unlimited Area

2020 ◽  
Vol 23 (4) ◽  
pp. 656-665
Author(s):  
Mikhail Pavlovich Galanin ◽  
Dmitry Leonidovich Sorokin
Keyword(s):  
Numerical Methods ◽  
Unbounded Domain ◽  
Elliptic Equations ◽  
Mixed Type ◽  
Computational Experiments ◽  
Type Operator ◽  
Green Formula ◽  
The Third ◽  
New Methods

Methods for solving problems of elliptic equations, based on the third Green formula, was analyzed. New methods for solving a problem with a mixed-type operator in an unbounded domain are proposed. On the basis of the proposed methods, programs for solving problems with a mixed type operator have been created. The results of computational experiments, showing the correctness of the application of methods, are presented.

scholarly journals Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type

2010 ◽  
Vol 2010 ◽  
pp. 1-16 ◽  
Author(s):  
K. Balachandran ◽  
J.-H. Kim
Keyword(s):  
Integral Equations ◽  
Existence And Uniqueness ◽  
Mixed Type ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Stochastic Integral ◽  
Sufficient Conditions ◽  
Fredholm Integral Equations ◽  
Equations Of Mixed Type ◽  
Stochastic Integral Equations

We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.

Sign in / Sign up

Export Citation Format

Share Document