1971IMA Journal of Applied MathematicsRequires access

Numerical Solution of the Third Boundary Value Problem for Laplace's Equation

K. I. Iordanidis

Open publisher page 3 citations

Abstract

This paper describes how a numerical solution of Laplace's equation under Robbins boundary conditions over a unit square may be reached by using an A.D.I. scheme with various acceleration parameters, the determination of which is outlined, and comparisons among which are made.

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What this paper is about

This paper describes how a numerical solution of Laplace's equation under Robbins boundary conditions over a unit square may be reached by using an A.D.I. scheme with various acceleration parameters, the determination of which is outlined, and comparisons among which are made.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper describes how a numerical solution of Laplace's equation under Robbins boundary conditions over a unit square may be reached by using an A.D.I. scheme with various acceleration parameters, the determination of which is outlined, and comparisons among which are made.

Key concepts: Laplace's equation, Laplace transform, Boundary value problem, Mathematics, Mathematical analysis, Boundary values, Square (algebra), Green's function for the three-variable Laplace equation

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