Computing the variable coefficient telegraph equation using a discrete eigenfunctions method
✍ Scribed by R. Aloy; M.C. Casabán; L.A. Caudillo-Mata; L. Jódar
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 534 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
This paper deals with the construction of discrete numerical solutions of mixed problems for the telegraph equation. After discretization, the two-variables partial difference mixed problem is solved by means of a discrete eigenfunctions method that mimics the advantages of the continuous eigenfunction method while eliminating its computational disadvantages. The solution is based on a closed form solution of the inhomogeneous second order difference equation without increasing the problem's dimension.
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