Algorithm

Service (business)

Social psychology

Applied mathematics

Computer security

Coordinate system

Plane (geometry)

RADIUS

Steady state (chemistry)

Economics

Computer science

Physical chemistry

Thermodynamics

Physics

Diffusion

Psychology

Mathematics

Relaxation (psychology)

Mathematical analysis

Geometry

Economy

Chemistry

Programming language

Diffusion equation

Iterative method

Line (geometry)

Constant (computer programming)

This paper compares three iteration methods for computing approximately a steady-state solution of the diffusion equation, in a pie-shaped region of the plane, using a finite mesh based on the r--and-thgr; coordinate system. The methods are successive line overrelaxation along curves of constant radius, successive line relaxation along radii, and alternating-direction-implicit iteration. It is concluded that the first-named of these three methods is superior, in that it is expected to converge faster for most problems.

Iterative methods for solution of diffusion problems in r--and-thgr; geometry