Numerical solutions of integral and integro-differential equations using Legendre polynomials
โ Scribed by A. H. Khater; A. B. Shamardan; D. K. Callebaut; M. R. A. Sakran
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 426 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper introduces a new approach to obtain the integration matrices using Legendre power expansion P n รฐxร. This method generates approximations to the lower order derivatives of the function through successive integrations of the Legendre polynomials to the highest order derivatives. This metho
Two integral equation formulations for the determination of the vertical displacement and the bending moment around holes in an elastic plate are presented. Each formulation consists of two equations, the first one an integral equation and an integro-differential equation and the second one two sing
## a b s t r a c t In this study, differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of kno