Approximations for a class of volterra integro-differential equations
β Scribed by H.K. Nguyen; T.L. Herdman; E.M. Cliff
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 597 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0895-7177
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The paper deals with the continuous approximation of the solution to the Cauchy problem for a class of nonlinear integro-differential equations. The analysis is developed for a model in mathematical biology and for the semicontinuous Boltzmann equation. Keywords--Nonlinear integro-differential equa
In this paper, numerical solution of Volterra integro-differential equation by means of the Sinc collocation method is considered. Convergence analysis is given, it is shown that the Sinc solution produces an error of order O e Γk ffiffi ffi where k > 0 is a constant. This approximation reduces the