The method of approximate particular solutions for solving certain partial differential equations
β Scribed by C.S. Chen; C.M. Fan; P.H. Wen
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 437 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finiteβdifference scheme. The accuracy of the resultant is modified by using suitable extrapol
## Abstract In this article, we introduce a type of basis functions to approximate a set of scattered data. Each of the basis functions is in the form of a truncated series over some orthogonal system of eigenfunctions. In particular, the trigonometric eigenfunctions are used. We test our basis fun
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
An adaptive numerical method for solving partial differential equations is developed. The method is based on the whole new class of second-generation wavelets. Wavelet decomposition is used for grid adaptation and interpolation, while a new O(N ) hierarchical finite difference scheme, which takes ad