A novel computational method for solving nonlinear Volterra integro-differential equation
Joint Authors
Shakir, Musa
Gunes, Baransel
Duru, Hakki
Source
Issue
Vol. 48, Issue 1 (31 Jan. 2021), pp.1-9, 9 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2021-01-31
Country of Publication
Kuwait
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we study quasilinear Volterra integro-differential equations (VIDEs).
Asymptotic estimates are made for the solution of VIDE.
Finite difference scheme which is accomplished by the method of integral identities with using of interpolating quadrature rules with weight functions and remainder term in integral form is presented for the VIDE.
Error estimates are carried out according to the discrete maximum norm.
It is given an effective quasilinearization technique for solving nonlinear VIDE.
The theoretical results are performed on numerical examples.
American Psychological Association (APA)
Shakir, Musa& Gunes, Baransel& Duru, Hakki. 2021. A novel computational method for solving nonlinear Volterra integro-differential equation. Kuwait Journal of Science،Vol. 48, no. 1, pp.1-9.
https://search.emarefa.net/detail/BIM-1500193
Modern Language Association (MLA)
Shakir, Musa…[et al.]. A novel computational method for solving nonlinear Volterra integro-differential equation. Kuwait Journal of Science Vol. 48, no. 1 (Jan. 2021), pp.1-9.
https://search.emarefa.net/detail/BIM-1500193
American Medical Association (AMA)
Shakir, Musa& Gunes, Baransel& Duru, Hakki. A novel computational method for solving nonlinear Volterra integro-differential equation. Kuwait Journal of Science. 2021. Vol. 48, no. 1, pp.1-9.
https://search.emarefa.net/detail/BIM-1500193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 8-9
Record ID
BIM-1500193