Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
β Scribed by Tao Tang
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 454 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
Nonlinear Volterra integral and integro differential equations with weakly-singular kernel are considered and solved numerically using nonlinear Mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.
The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given
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