A SOLUTION OF THE LINEAR TRANSPORT-EQUATION USING CHEBYSHEV POLYNOMIALS AND LAPLACE TRANSFORM

被引：0

作者：

CARDONA, AV ^{[1
]}

VILHENA, MT ^{[1
]}

机构：

[1] PONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZIL

来源：

KERNTECHNIK | 1994年 / 59卷 / 06期

关键词：

D O I：

暂无

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

A new approximate solution of the one-group linear transport equation with anisotropic scattering is established utilizing the Chebyshev polynomials. The resulting system of linear differential equations is solved analytically using the Laplace transform technique. Numerical results are presented.

引用

页码：278 / 281

页数：4

共 50 条

[1] A SOLUTION OF THE LINEAR TRANSPORT-EQUATION USING WALSH-FUNCTION AND LAPLACE TRANSFORM
CARDONA, AV
VILHENA, MT
ANNALS OF NUCLEAR ENERGY, 1994, 21 (08) : 495 - 505
[2] A FINITE TRANSFORM APPROACH TO THE SOLUTION OF RADIATION TRANSPORT-EQUATION
GOPINATH, DV
PROGRESS IN NUCLEAR ENERGY, 1981, 8 (2-3) : 247 - 262
[3] CONTINUITY AND DIFFERENTIABILITY PROPERTIES OF SOLUTION OF LINEAR TRANSPORT-EQUATION
KAPER, HG
KELLOGG, RB
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) : 201 - 214
[4] Discrete ordinates (SN) method for the first solution of the transport equation using Chebyshev polynomials
Ozturk, Hakan
THEORETICAL AND EXPERIMENTAL STUDIES IN NUCLEAR APPLICATIONS AND TECHNOLOGY (TESNAT 2016), 2016, 128
[5] NUMERICAL SOLUTION OF TRANSPORT-EQUATION
BAREISS, EH
SIAM REVIEW, 1972, 14 (03) : 521 - &
[6] BOUNDS AND MAXIMUM-PRINCIPLES FOR THE SOLUTION OF THE LINEAR TRANSPORT-EQUATION
LARSEN, EW
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (02) : 282 - 292
[7] SCATTERING THEORY, ORTHOGONAL POLYNOMIALS, AND TRANSPORT-EQUATION
CASE, KM
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (07) : 974 - 983
[8] An approximate solution of nonlinear fractional differential equation by Laplace transform and Adomian polynomials
Yang, C. (cdruby@126.com), 1600, Binary Information Press, Flat F 8th Floor, Block 3, Tanner Garden, 18 Tanner Road, Hong Kong (10):
[9] ASYMPTOTIC SOLUTIONS OF A LINEAR TRANSPORT-EQUATION
DARRUDA, J
LARSEN, EW
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1975, 20 (04): : 724 - 724
[10] Solution of Linear PDEs Obtained Using the Laplace Transform
Kim, Hwajoon
CONTEMPORARY MATHEMATICS, 2024, 5 (01): : 561 - 566

← 1 2 3 4 5 →