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Numerical analysis of the one-dimensional heat equation subject to a boundary integral specification

✍ Scribed by B. Soltanalizadeh

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
159 KB
Volume
284
Category
Article
ISSN
0030-4018

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✦ Synopsis

In this research a numerical technique is developed for the one-dimensional heat equation that combines classical and integral boundary conditions. New matrix formulation techniques with arbitrary polynomial bases are proposed for the numerical/analytical solution of this kind of partial differential equation. We give a simple and efficient algorithm based on an iterative process for numerical solution of the method.

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A method is proposed for reducing the multi-dimensional Schriidinger equation to a one\_dimensionaI integral equation. The reduction is exact; and the resulting integral equation although complicated, may be treated by any of a number of numerical methods. Two 24iniensional problems, the harmonic os