DETERMINATION OF A SOURCE-TERM IN THE LINEAR DIFFUSION EQUATION

被引：22

作者：

REEVE, DE

SPIVACK, M

机构：

[1] SMITH INST,GUILDFORD GU2 5YP,SURREY,ENGLAND

[2] UNIV CAMBRIDGE,DEPT APPL MATH & THEORET PHYS,CAMBRIDGE CB3 9EW,ENGLAND

来源：

INVERSE PROBLEMS | 1994年 / 10卷 / 06期

关键词：

D O I：

10.1088/0266-5611/10/6/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method is presented for the reconstruction of a source term in the linear diffusion equation. This is applied here to a problem of coastline evolution and sediment transport. The method is based upon inversion of the split-step solution, which is widely used to treat the related parabolic wave equation for propagation in inhomogeneous media. In this approach the effects of diffraction and scattering operators are treated separately, using the fact that their commutator is 'small' in an appropriate sense. It is explained how the method can also be applied to the recovery of the ocean sound-speed profile.

引用

页码：1335 / 1344

页数：10

共 13 条

[1]

CANNON JR, 1976, J APPL MATH PHYS, V27, P275

[2]

CLAYTON KM, 1983, SHORELINE PROTECTION, P91

[3]

Flatte S., 1979, SOUND TRANSMISSION F

[4]

PELNARDCONSIDER.R, 1956, 4EME JOURN HYDR QUES