Method of Construction of Finite Integral Transform for Operator of Parabolic Differential Equation under Mixed Boundary Conditions

被引：0

作者：

Chernukha, O. ^{[1
]}

Bilushchak, Y. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Dept Math Modeling Nonequilibrium Proc, Ctr Math Modelling, YS Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine

来源：

2020 IEEE 6TH INTERNATIONAL CONFERENCE ON METHODS AND SYSTEMS OF NAVIGATION AND MOTION CONTROL (MSNMC) | 2020年

关键词：

integral transform; parabolic differential equation; Sturm-Liouville problem; eigenfunction; eigenvalue; characterristic equation;

D O I：

10.1109/msnmc50359.2020.9255533

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The method of construction of non-classical finite integral transforms for the operator of parabolic differential equation under conditions of the first kind on the sought function on the upper layer boundary and of the second kind on the lower one on the basis of the expansion by orthogonal eigenfunctions is presented. The Sturm-Liouville problem is solved and its solution is investigated. Linearization of the characteristic equation is considered. The influence of the coefficient of advective transfer velocity on the inverse integral transform is studied. The eigenvalues of the Sturm-Liouville problem are investigated.

引用

页码：38 / 42

页数：5

共 50 条

[41] Finite element solution of Dirichlet's nonlinear partial differential equation with mixed boundary conditions
Mofid, M
Vafai, A
Farahani, K
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 169 (1-2) : 81 - 88
[42] Properties of positive solutions for the operator equation Ax = λx and applications to fractional differential equations with integral boundary conditions
Zhai, Chengbo
Wang, Fang
ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 10
[43] Existence of positive solutions for fractional differential equation involving integral boundary conditions with p-Laplacian operator
Li, Yunhong
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[44] Existence of positive solutions for fractional differential equation involving integral boundary conditions with p-Laplacian operator
Yunhong Li
Advances in Difference Equations, 2017
[45] On a coupled system under coupled integral boundary conditions involving non-singular differential operator
Shah, Kamal
Abdeljawad, Thabet
Abdalla, Bahaaeldin
AIMS MATHEMATICS, 2023, 8 (04): : 9890 - 9910
[46] SOLUTION OF A PROBLEM WITH A DIRECTIONAL DERIVATIVE FOR A PARABOLIC EQUATION, BY THE BOUNDARY-INTEGRAL-EQUATION METHOD
BADERKO, EA
DIFFERENTIAL EQUATIONS, 1989, 25 (01) : 9 - 14
[47] Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions
Kanca, Fatma
ABSTRACT AND APPLIED ANALYSIS, 2013,
[48] The Solution of a Mixed Problem for a Parabolic Type Equation with General Form Coefficients Under Unconventional Boundary Conditions
Ahmadov, H. I.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2023, 13 (01): : 172 - 187
[49] THE SOLUTION OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION WITH INTEGRAL CONDITIONS
Mehraliyev, Yashar T.
Yusifov, Magomed R.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2009, 30 (38): : 91 - 104
[50] GALERKIN METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
Chen, Bai-Li
BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 1 - 11

← 1 2 3 4 5 →