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Analytical and numerical treatment of a fractional integro-differential equation of volterra-type

✍ Scribed by L. Boyadjiev; S.L. Kalla; H.G. Khajah

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
603 KB
Volume
25
Category
Article
ISSN
0895-7177

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✦ Synopsis

An

analytical treatment of a fractional generalisation of the free electron laser (FEL) equation is given, whereby a closed form solution is obtained in terms of Kummer functions @(a, c; z). Subsequently, Tau method approximation of these functions facilitates the numerical evaluation of the solution of the FEL equation.

πŸ“œ SIMILAR VOLUMES

Numerical solution of nonlinear Volterra
Numerical solution of nonlinear Volterra–Fredholm integro-differential equations
✍ P. Darania; K. Ivaz πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 298 KB

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