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New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets

✍ Scribed by Imran Aziz; Siraj-ul-Islam

Book ID
119211353
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
305 KB
Volume
239
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES

Numerical solution of nonlinear Fredholm
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
✍ E. Babolian; A. Shahsavaran πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 418 KB

In this work, we present a computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.

Numerical solution of nonlinear volterra
Numerical solution of nonlinear volterra integral equations using the idea of quasilinearization
✍ K. Maleknejad; E. Najafi πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 321 KB

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 appr