Finite-difference methods for solving loaded parabolic equations

Loaded partial differential equations are solved numerically. For illustrative purposes, a boundary value problem for a parabolic equation with various point loads is considered. By applying difference approximations, the problems are reduced to systems of algebraic equations of special structure, w...

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Vydáno v:Computational mathematics and mathematical physics Ročník 56; číslo 1; s. 93 - 105
Hlavní autoři: Abdullayev, V. M., Aida-zade, K. R.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.01.2016
Springer Nature B.V
Témata:
Algebra
Approximation
Boundary conditions
Boundary value problems
Computational mathematics
Computational Mathematics and Numerical Analysis
Finite difference method
Linear systems
Load
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Methods
Ordinary differential equations
Partial differential equations
Representations
system of linear algebraic equations
loaded differential equation
parabolic equation
grid method
tridiagonal matrix algorithm
ISSN:0965-5425, 1555-6662
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Shrnutí:Loaded partial differential equations are solved numerically. For illustrative purposes, a boundary value problem for a parabolic equation with various point loads is considered. By applying difference approximations, the problems are reduced to systems of algebraic equations of special structure, which are solved using a parametric representation involving solutions of auxiliary linear systems with tridiagonal matrices. Numerical results are presented and analyzed.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542516010036