AN EXACT METHODOLOGY FOR SOLVING NONLINEAR DIFFUSION-EQUATIONS BASED ON INTEGRAL-TRANSFORMS

被引：10

作者：

FRANKEL, JI ^{[1
]}

VICK, B ^{[1
]}

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MECH ENGN,BLACKSBURG,VA 24061

来源：

APPLIED NUMERICAL MATHEMATICS | 1987年 / 3卷 / 06期

关键词：

D O I：

10.1016/0168-9274(87)90041-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：467 / 477

页数：11

共 50 条

[1] EXACT TREATMENT OF NONLINEAR DIFFUSION-EQUATIONS WITH SINGULAR INTEGRAL TERMS
SATSUMA, J
MIMURA, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1985, 54 (03) : 894 - 900
[2] INTEGRAL-TRANSFORMS ASSOCIATED WITH SOME NONLINEAR EQUATIONS
PASQUIER, JY
PASQUIER, R
[J]. PHYSICS LETTERS A, 1983, 99 (05) : 205 - 210
[3] INTEGRAL RESULTS FOR NONLINEAR DIFFUSION-EQUATIONS
KING, JR
[J]. JOURNAL OF ENGINEERING MATHEMATICS, 1991, 25 (02) : 191 - 205
[4] A METHOD EMPLOYING INTEGRAL-TRANSFORMS FOR SOLVING DIFFUSION NONLINEAR REACTION PROBLEMS WITH ASYMMETRICAL BOUNDARY-CONDITIONS
JOHNSTON, PR
DO, DD
[J]. COMPUTERS & CHEMICAL ENGINEERING, 1991, 15 (04) : 209 - 216
[5] EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION-EQUATIONS
KING, JR
[J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1993, 46 : 419 - 436
[6] EXACT POLYNOMIAL SOLUTIONS TO SOME NONLINEAR DIFFUSION-EQUATIONS
KING, JR
[J]. PHYSICA D, 1993, 64 (1-3): : 35 - 65
[7] EXACT-SOLUTIONS TO SOME NONLINEAR DIFFUSION-EQUATIONS
KING, JR
[J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1989, 42 : 537 - 552
[8] EXACT SIMILARITY SOLUTIONS TO SOME NONLINEAR DIFFUSION-EQUATIONS
KING, JR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (16): : 3681 - 3697
[9] PAINLEVE TEST AND EXACT SIMILARITY SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION-EQUATIONS
GLOCKLE, WG
BAUMANN, G
NONNENMACHER, TF
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (07) : 2456 - 2463
[10] EXACT CONTROL OF A SYSTEM OF DIFFUSION-EQUATIONS
FARLOW, SJ
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (05) : 1293 - 1299

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