Solution of a linear differential equation of the stretched type via Laguerre functions
β Scribed by Chyi Hwang; Chuen-Ming Chen
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 484 KB
- Volume
- 323
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
A method of using Laguerre functions is presented to obtain approximate solutions of a linear dtyerential equation of the stretched type. The solution is essentially based on the development of two new operational matrices to manipulate, respectively, the differentiation and the stretch via Laguerre functions. It is shown that the proposed method is convenient for computer programming and appears comparable to the accuracy of other methods. Two examples are given for illustration.
π SIMILAR VOLUMES
There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex pla