We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autocorrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based preconditioning techniques along
Numerical solution of a class of complex differential equations by the Taylor collocation method in elliptic domains
✍ Scribed by Mehmet Sezer; Bekir Tanay; Mustafa Gülsu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 128 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
Abstract
An approximate method for solving higher‐order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of expressions in the differential equation and the collocation points defined in an elliptic domain. Illustrative examples are included to demonstrate the validity and applicability of the technique. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010
📜 SIMILAR VOLUMES
## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra 𝔄. We construct an integral representation and discuss the properties of the kernels.