Numerical solution of stochastic linear heat conduction problem by using new algorithms

被引：2

作者：

Maleknejad, K ^{[1
]}

Mirzaee, F ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Dept Math, Tehran 16844, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 01期

关键词：

stochastic heat conduction problem; stochastic integral equations; numerical stochastic;

D O I：

10.1016/j.amc.2003.10.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a stochastic linear heat conduction problem so, it is reduced to a special integral equation of the second kind. Our aim, in this paper is to give stable numerical algorithms for approximating solution of integral equation and heat conduction. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：97 / 106

页数：10

共 50 条

[31] NUMERICAL-ANALYTICAL SOLUTION OF THE NONLINEAR COEFFICIENT INVERSE HEAT CONDUCTION PROBLEM
Dmitriev, O. S.
Zhivenkova, A. A.
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2018, 91 (06) : 1353 - 1364
[32] Numerical Solution of the Retrospective Inverse Problem of Heat Conduction with the Help of the Poisson Integral
Vasil’ev V.I.
Kardashevskii A.M.
Journal of Applied and Industrial Mathematics, 2018, 12 (3) : 577 - 586
[33] Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials
Shidfar, A
Pourgholi, R
APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (02) : 1366 - 1374
[34] Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region
Feng, Xiao-Li
Qian, Zhi
Fu, Chu-Li
MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (02) : 177 - 188
[35] THE MOLLIFICATION METHOD AND THE NUMERICAL-SOLUTION OF AN INVERSE HEAT-CONDUCTION PROBLEM
MURIO, DA
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (01): : 17 - 34
[36] Stable numerical solution of a fractional-diffusion inverse heat conduction problem
Murio, Diego A.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (10) : 1492 - 1501
[37] POINTWISE BOUNDS FOR THE SOLUTION OF A NON-LINEAR PROBLEM IN HEAT-CONDUCTION
ANDERSON, N
ARTHURS, AM
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1982, 62 (12): : 701 - 704
[38] Regularization of the backward stochastic heat conduction problem
Nguyen Huy Tuan
Lesnic, Daniel
Tran Ngoc Thach
Tran Bao Ngoc
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2022, 30 (03): : 351 - 362
[39] Solution inverse coefficient heat conduction problem in the composite wall using the methods of simplified equivalents and evolutionary algorithms
Kucypera, S
INZYNIERIA CHEMICZNA I PROCESOWA, 2004, 25 (04): : 2199 - 2206
[40] Existence of the Solution of Neumann Problem for the Heat-Conduction Equation with General Stochastic Measure
Horodnii M.F.
Polyulya D.M.
Journal of Mathematical Sciences, 2016, 217 (4) : 418 - 426

← 1 2 3 4 5 →