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A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation

✍ Scribed by Berna Bülbül; Mehmet Sezer

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
207 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

A Taylor matrix method is proposed for the numerical solution of the two-spacedimensional linear hyperbolic equation. This method transforms the equation into a matrix equation and the unknown of this equation is a Taylor coefficients matrix. Solutions are easily acquired by using this matrix equation, which corresponds to a system of linear algebraic equations. As a result, the finite Taylor series approach with three variables is obtained. The accuracy of the proposed method is demonstrated with one example.

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✍ Elias Wegert; Lothar von Wolfersdorf 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB

## Abstract The paper is devoted to the linearized __H__‐equation of Chandrasekhar and Ambarzumyan. A Stieltjes‐type transform reduces the equation to a boundary value problem for holomorphic functions in the upper half‐plane which is solved in closed form. Additional conditions ensure that the sol