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Numerical solution of nonlinear volterra integral equations using the idea of quasilinearization

✍ Scribed by K. Maleknejad; E. Najafi

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
321 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

The iterations of the quasilinear technique, employed in nonlinear volterra integral equations, are expressed as linear integral equations. By using Collocation Method, the solutions of these linear equations are approximated. Combining this and iterations of the quasilinear technique yields an approximation solution for nonlinear integral equations. The convergence is considered and the examples confirm the accuracy of the solution.

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